SU\G(𝔸)/K·U
Mathematics › Geometry and Topology

Geometry and complex manifolds

Works Count: 28162

Description

This cluster of papers focuses on the geometry, stability, and properties of Kähler metrics, including topics such as scalar curvature, K-stability, complex Monge-Ampère equations, Ricci flow, Fano manifolds, Calabi-Yau manifolds, and geometric quantization.

Keywords

Kähler Metrics; Stability; Scalar Curvature; K-Stability; Complex Monge-Ampère Equation; Ricci Flow; Fano Manifolds; Calabi-Yau Manifolds; Singularities; Geometric Quantization

Most Cited Works

Action Title Date Authors
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Nonlinear Analysis on Manifolds. Monge-Ampère Equations 1982-01-01 Thierry Aubin
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Scalar Curvature and Stability of Toric Varieties 2002-10-01 Simon Donaldson
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Differential Analysis on Complex Manifolds 1980-01-01 Raymond O. Wells
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Contact Manifolds in Riemannian Geometry 1976-01-01 David E. Blair
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Three-manifolds with positive Ricci curvature 1982-01-01 Richard S. Hamilton
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Vector Bundles on Complex Projective Spaces 1980-01-01 Christian Okonek Michael Schneider Heinz Spindler
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The Self-Duality Equations on a Riemann Surface 1987-07-01 Nigel Hitchin
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Loop Spaces, Characteristic Classes and Geometric Quantization 1993-01-01 Jean-Luc Brylinski
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Riemannian Geometry of Contact and Symplectic Manifolds 2010-01-01 David E. Blair
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A Course in Metric Geometry 2001-06-12 Dmitri Burago Yuri Burago S. V. Ivanov
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Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds 1999-02-19 Alexander Grigor’yan
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Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties 1993-01-01 Victor V. Batyrev
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On the structure of spaces with Ricci curvature bounded below. I 1997-01-01 Jeff Cheeger Tobias Colding
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Compact Manifolds with Special Holonomy 2000-07-20 Dominic Joyce
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Harmonic functions on complete riemannian manifolds 1975-03-01 Shing‐Tung Yau
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Permutationally invariant potential energy surfaces in high dimensionality 2009-10-01 Bastiaan J. Braams Joel M. Bowman
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Ricci curvature for metric-measure spaces via optimal transport 2009-04-22 John Lott Cédric Villani
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The entropy formula for the Ricci flow and its geometric applications 2002-01-01 Grisha Perelman
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Real hypersurfaces in complex manifolds 1974-01-01 Shiing-Shen Chern Jürgen Moser
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Asymptotic behavior for singularities of the mean curvature flow 1990-01-01 Gerhard Huisken
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A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem 2000-01-01 Jean‐David Benamou Yann Brenier
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Hyperkähler metrics and supersymmetry 1987-12-01 Nigel Hitchin A. Karlhede Ulf Lindström M. Roček
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Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits 1966-01-01 Vladimir I. Arnold
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Variation of hodge structure: The singularities of the period mapping 1973-09-01 Wilfried Schmid
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On the geometry of metric measure spaces. II 2006-01-01 Karl‐Theodor Sturm
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A new capacity for plurisubharmonic functions 1982-01-01 Eric Bedford B. A. Taylor
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Stable bundles and integrable systems 1987-01-01 Nigel Hitchin
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Topological quantum field theories 1988-01-01 Michael Atiyah
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On Compact Analytic Surfaces 2015-04-21 Kunihiko Kodaira
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Pseudo holomorphic curves in symplectic manifolds 1985-06-01 M. Gromov
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The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian 1985-01-01 Luis Caffarelli Louis Nirenberg Joel Spruck
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On the proof of the positive mass conjecture in general relativity 1979-02-01 Richard Schoen Shing-Tung Yau
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On the existence of hermitian-yang-mills connections in stable vector bundles 1986-01-01 Karen Uhlenbeck Shing–Tung Yau
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Reduction of symplectic manifolds with symmetry 1974-02-01 Jerrold E. Marsden Alan Weinstein
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Calabi's conjecture and some new results in algebraic geometry 1977-05-01 Shing‐Tung Yau
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Kähler-Einstein metrics with positive scalar curvature 1997-09-03 Gang Tian
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The Yang-Mills equations over Riemann surfaces 1983-03-17 Michael Atiyah Raoul Bott
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On the First Variation of a Varifold 1972-05-01 William K. Allard
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A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory 1991-07-01 Philip Candelas Xenia C. de la Ossa Paul S. Green Linda Parkes
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On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I 1978-05-01 Shing–Tung Yau
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Spectral asymmetry and Riemannian Geometry. I 1975-01-01 Michael Atiyah V. K. Patodi I. M. Singer
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Polar factorization and monotone rearrangement of vector‐valued functions 1991-06-01 Yann Brenier
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Compactifications of F-theory on Calabi-Yau threefolds (II) 1996-09-01 David R. Morrison Cumrun Vafa
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Exponents for the excluded volume problem as derived by the Wilson method 1972-02-01 P. G. de Gennes
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The Euler–Poincaré Equations and Semidirect Products with Applications to Continuum Theories 1998-07-01 Darryl D. Holm Jerrold E. Marsden Tudor S. Raţiu
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Mirror Symmetry 2003-01-01 Eric Zaslow Ravi Vakil Kentaro Hori Richard P. Thomas Cumrun Vafa Albrecht Klemm Rahul Pandharipande Sheldon Katz
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Generalized Calabi-Yau Manifolds 2003-09-01 Nigel Hitchin
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The intrinsic normal cone 1997-03-19 Kai Behrend Barbara Fantechi
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Optimal Transport 2008-10-25 Cédric Villani
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The Ricci flow on surfaces 1988-01-01 Richard S. Hamilton

Most Recent Works

Action Title Date Authors
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Almost global existence for some Hamiltonian PDEs on manifolds with globally integrable geodesic flow 2025-04-23 Dario Bambusi Roberto Feola Beatrice Langella F Monzani
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Semiclassical functional calculus on nilpotent Lie groups and their compact nilmanifolds 2025-04-24 Véronique Fischer Søren Mikkelsen
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A note on the Nielsen realization problem for hyper-Kähler manifolds 2025-04-24 Simone Billi
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Minimal limit key polynomials 2025-04-24 Enric Nart Josnei Novacoski
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The strong Diederich-Fornæss index on C2 domains in Hermitian manifolds 2025-04-24 Phillip S. Harrington
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$$L^2$$-betti numbers of branched covers of hyperbolic manifolds 2025-04-24 Grigori Avramidi Boris Okun Kevin Schreve
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Partially Slant Submanifolds of a Kähler Manifold 2025-04-24 Fırat Yerli̇kaya Deniz Poyraz Bayram Şahin
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Ricci-Yamabe solitons along Riemannian maps 2025-04-24 Şemsi Eken Meri̇ç Sena Nur Dogdu Erol Yaşar
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Boundary curvature scalars on conformally compact manifolds 2025-04-25 A. Rod Gover Jarosław Kopiński Andrew Waldron
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Einstein-like Poisson Warped Product Manifolds and Applications 2025-04-25 Foued Aloui
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Type II singularities in area-preserving curvature flows of convex symmetric immersed closed plane curves 2025-04-25 Koichi Anada Tetsuya Ishiwata Takeo Ushijima
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Zariski-dense Hitchin representations in uniform lattices 2025-04-26 Jacques Audibert
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Compact gradient Einstein-type manifolds with boundary 2025-04-28 Allan Freitas José N. V. Gomes
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The <i>L</i> <sup>1</sup>-relaxed area of the graph of the vortex map: Optimal upper bound 2025-04-28 Giovanni Bellettini Alaa Elshorbagy Riccardo Scala
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Finite-time singularities of 2D Landau–Lifshitz flow for almost-holomorphic maps 2025-04-28 Ze Li Chong Song
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Classification of Lagrangian translators and Lagrangian self-expanders in $$\mathbb {C}^{2}$$ 2025-04-28 Zhi Li Guoxin Wei
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Tangential Fixpoint Iterations for Gromov–Wasserstein Barycenters 2025-04-28 Florian Beier Robert Beinert
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Irreducible symplectic varieties with a large second Betti number 2025-04-29 Yuchen Liu Zhiyu Liu Chenyang Xu
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Brill-Noether loci on an Enriques surface covered by a Jacobian Kummer surface 2025-04-29 I. Macías Tarrío Calin Spiridon Andrei Stoenică
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Approximation of m-subharmonic Functions in Weighted Energy Classes with Given Boundary Values 2025-04-29 Nguyen Van Phu
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Characterization of Almost Complex Manifolds and Kähler Geometry 2025-04-30 Md Shapan Miah Khondokar M Ahmed
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Riemann solitons on imperfect fluid spacetimes 2025-04-30 Shahroud Azami Uday Chand De
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Flux at Infinity of Subharmonic Functions on \(\mathbb{R}^2\) 2025-05-01 Amulya Smyrna C. N. Nathiya
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Logarithmic vanishing theorems on weakly 1-complete Kähler manifolds 2025-05-02 Shilong Lu
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Dynamics of convex mean curvature flow 2025-05-02 Sigurd B Angenent Panagiota Daskalopoulos Nataša Šešum
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Colding–Minicozzi entropies in Cartan–Hadamard manifolds 2025-05-02 Jacob Bernstein Arunima Bhattacharya
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Non-archimedean and hybrid dynamics of Hénon mappings 2025-05-03 Reimi Irokawa
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Finite elements for Wasserstein $\mathbb{W}_p$ gradient flows 2025-05-03 Clément Cancès Daniel Matthes Flore Nabet Eva-Maria Rott
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A variational approach to the Hermitian–Einstein metrics and the Quot-scheme limit of Fubini–Study metrics 2025-05-03 Yoshinori Hashimoto Julien Keller
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Weak solutions to gradient flows of functionals with inhomogeneous growth in metric spaces 2025-05-04 Wojciech Górny
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Constant Scalar Curvature Kähler Metrics on Resolutions of an Orbifold Singularity of Depth 1 2025-05-05 Mehrdad Najafpour
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Dirichlet Scalar Determinants on Two-Dimensional Constant Curvature Disks 2025-05-05 Soumyadeep Chaudhuri Frank D. Ferrari
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Counting the fission trees and nonabelian Hodge graphs (untwisted case) 2025-05-01 Philip Boalch
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Comparison theorems on H-type sub-Riemannian manifolds 2025-05-05 Fabrice Baudoin Erlend Grong Luca Rizzi Gianmarco Vega-Molino
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Nonnegative Ricci curvature, almost stability at infinity, and structure of fundamental groups 2025-05-06 Jiayin Pan
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Integral points of Shimura varieties: an “all or nothing” principle 2025-05-01 H. Liu
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Weighted Extremal Metrics on Blowups 2025-05-06 Michael Hallam
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A precise determination of the contact CR $$\delta $$-invariant for typical submanifolds within a Lorentz-Sasakian space form 2025-05-06 Octavian Postavaru Ion Mihai
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Ibukiyama correspondences on automorphic forms on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi mathvariant="normal">Mp</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">A</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="double-struck">Q</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:math> and <mml:math … 2025-05-01 Hiroshi Ishimoto
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Infinite-length limit of spectral curves and inverse scattering 2025-05-05 Niklas Beisert Kunal Gupta
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Non-compact Einstein manifolds with unimodular isometry group 2025-05-06 Christoph Böhm R Lafuente
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Stochastically complete constant mean curvature spacelike hypersurfaces in Generalized Robertson-Walker spacetimes 2025-05-01 Mário Medina José A. S. Pelegrín
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Monge–Ampère geometry and the Eady problem 2025-05-01 Roberto D’Onofrio G. Ortenzi Ian Roulstone
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Lagrangian planes in hyperkähler varieties of $$K3^{[n]}$$-type 2025-05-07 Georg Oberdieck
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CL-Transformation on 3-Dimensional Quasi Sasakian Manifolds and Their Ricci Soliton 2025-05-08 Rajesh Kumar Lalnunenga Colney Dalal Alhwikem
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Erratum to “Orientability of moduli spaces of Spin(7)-instantons and coherent sheaves on Calabi–Yau 4-folds” [Adv. Math. 368 (2020) 107134] 2025-05-09 Yalong Cao Jacob Gross Dominic Joyce
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2D sigma models on noncompact Calabi-Yau manifolds and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math> Liouville theory 2025-05-09 Pavlo Gavrylenko Evgenii Ievlev A. Marshakov Ilia Monastyrskii A. Yung
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RADIAL TOEPLITZ FORMS ON THE WEIGHTED BERGMAN SPACE OVER THE UNIT DISK 2025-05-09 Kevin Esmeral Anuar Enrique Paternina Montalvo
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Some quenched and annealed limit theorems for superprocesses in random environments 2025-05-01 Zeteng Fan Jieliang Hong Jie Xiong
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Quantitative stability for complex Monge–Ampère equations, I 2025-05-10 Hoang-Son Do Duc‐Viet Vu