Yiyue Zhang

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All published works

Action	Title	Year	Authors
+ PDF Chat	Rigidity of Asymptotically Hyperboloidal Initial Data Sets with Vanishing Mass	2024	Sven Hirsch Hyun Chul Jang Yiyue Zhang
+	Stability of Llarull's theorem in all dimensions	2024	Sven Hirsch Yiyue Zhang
+	Rigid comparison geometry for Riemannian bands and open incomplete manifolds	2024	Sven Hirsch Demetre Kazaras Marcus Khuri Yiyue Zhang
+ PDF Chat	Initial data sets with vanishing mass are contained in pp-wave spacetimes	2024	Sven Hirsch Yiyue Zhang
+ PDF Chat	The Riemannian Penrose inequality with matter density	2024	Hubert L. Bray Yiyue Zhang
+	Spectral Torical Band Inequalities and Generalizations of the Schoen–Yau Black Hole Existence Theorem	2023	Sven Hirsch Demetre Kazaras Marcus Khuri Yiyue Zhang
+	Multiracial Generations: Interpersonal Experiences of Interminority Multiracials and Half-White Multiracials	2023	Joie Haydel Sceptre Ganasi Samantha Yim Torin Perreyclear Lizzie Hernandez Haochen Zheng Kaitlyn Jubera Taylor Pauley Xinzhuo Gao Yiyue Zhang
+ PDF Chat	Spacetime Harmonic Functions and Applications to Mass	2023	Hubert L. Bray Sven Hirsch Demetre Kazaras Marcus Khuri Yiyue Zhang
+	Spectral Torical Band Inequalities and Generalizations of the Schoen-Yau Black Hole Existence Theorem	2023	Sven Hirsch Demetre Kazaras Marcus Khuri Yiyue Zhang
+	Stability of Llarull's theorem in all dimensions	2023	Sven Hirsch Yiyue Zhang
+ PDF Chat	The Case of Equality for the Spacetime Positive Mass Theorem	2022	Sven Hirsch Yiyue Zhang
+	Scalar curvature volume comparison theorems for almost rigid spheres	2022	Yiyue Zhang
+ PDF Chat	[Published] - Social Utilitarianism in Digital Interactions and Distant Worlds	2022	Avital Simanian Beihan Guo Yiyue Zhang Jarryd Willis
+	The case of equality for the spacetime positive mass theorem	2022	Sven Hirsch Yiyue Zhang
+	Rigid comparison geometry for Riemannian bands and open incomplete manifolds	2022	Sven Hirsch Demetre Kazaras Marcus Khuri Yiyue Zhang
+	Spacetime Harmonic Functions and Applications to Mass	2021	Hubert L. Bray Sven Hirsch Demetre Kazaras Marcus Khuri Yiyue Zhang
+	THE HYPERBOLIC POSITIVE MASS THEOREM AND VOLUME COMPARISON INVOLVING SCALAR CURVATURE	2021	Yiyue Zhang
+	Proof of Bishop's volume comparison theorem using singular soap bubbles	2019	Hubert L. Bray Feng Gui Zhenhua Liu Yiyue Zhang
+	Flatly Foliated Relativity	2019	Hubert L. Bray Benjamin Hamm Sven Hirsch James Thomas Wheeler Yiyue Zhang
+ PDF Chat	Flatly foliated relativity	2019	Hubert L. Bray Benjamin Hamm Sven Hirsch James Thomas Wheeler Yiyue Zhang
+	Proof of Bishop's volume comparison theorem using singular soap bubbles	2019	Hubert L. Bray Feng Gui Zhenhua Liu Yiyue Zhang
+	Scalar Curvature Volume Comparison Theorems for Almost Rigid Sphere	2019	Yiyue Zhang

Common Coauthors

Coauthor	Papers Together
Sven Hirsch	9
Hubert L. Bray	7
Demetre Kazaras	6
Marcus Khuri	6
Sven Hirsch	5
James Thomas Wheeler	2
Benjamin Hamm	2
Jarryd Willis	2
Feng Gui	2
Zhenhua Liu	2
Alisa Panichkina	1
Samantha Yim	1
Haochen Zheng	1
Rosi Vera	1
Taylor Pauley	1
Kaitlyn Jubera	1
Mel Markley	1
Xinzhuo Gao	1
Zhihui Sheng	1
Beihan Guo	1
Torin Perreyclear	1
Hyun Chul Jang	1
Lizzie Hernandez	1
Joie Haydel	1
Sceptre Ganasi	1
Avital Simanian	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	On the proof of the positive mass conjecture in general relativity	1979	Richard Schoen Shing-Tung Yau	5
+ PDF Chat	Proof of the Riemannian Penrose Inequality Using the Positive Mass Theorem	2001	Hubert L. Bray	4
+ PDF Chat	The Inverse Mean Curvature Flow and the Riemannian Penrose Inequality	2001	Gerhard Huisken Tom Ilmanen	4
+ PDF Chat	The Jang Equation Reduction of the Spacetime Positive Energy Theorem in Dimensions Less Than Eight	2013	Michael Eichmair	4
+ PDF Chat	Spacetime harmonic functions and the mass of 3-dimensional asymptotically flat initial data for the Einstein equations	2022	Sven Hirsch Demetre Kazaras Marcus Khuri	4
+ PDF Chat	Geometric Relativity	2019	Dan Lee	3
+	Spin and Scalar Curvature in the Presence of a Fundamental Group. I	1980	Mikhael Gromov H. Blaine Lawson	3
+ PDF Chat	Rigidity phenomena involving scalar curvature	2012	Simon Brendle	3
+ PDF Chat	Regularity of isoperimetric hypersurfaces in Riemannian manifolds	2003	Frank Morgan	3
+	A Relation Between Volume, Mean Curvature and Diameter	1993	Richard L. Bishop	3
+ PDF Chat	The Case of Equality for the Spacetime Positive Mass Theorem	2022	Sven Hirsch Yiyue Zhang	2
+ PDF Chat	A long neck principle for Riemannian spin manifolds with positive scalar curvature	2020	S. Cecchini	2
+ PDF Chat	On the Asymptotics for the Vacuum Einstein Constraint Equations	2006	Justin Corvino Richard Schoen	2
+	A Definition of Total Energy-Momenta and the Positive Mass Theorem on Asymptotically Hyperbolic 3-Manifolds. I	2004	Xiao Zhang	2
+	Width estimate and doubly warped product	2020	Jintian Zhu	2
+ PDF Chat	On the Bartnik mass of apparent horizons	2015	Christos Mantoulidis Richard Schoen	2
+ PDF Chat	Spacetime Harmonic Functions and Applications to Mass	2023	Hubert L. Bray Sven Hirsch Demetre Kazaras Marcus Khuri Yiyue Zhang	2
+ PDF Chat	Scalar Curvature Rigidity of Geodesic Balls in $S^n$	2011	Simon Brendle Fernando C. Marcques	2
+	The isoperimetric and Willmore problems	2001	Antonio R�os	2
+	Approximation and regularization of Lipschitz functions: Convergence of the gradients	2006	Marc-Olivier Czarnecki Ludovic Rifford	2
+ PDF Chat	Mass Rigidity for Hyperbolic Manifolds	2019	Lan-Hsuan Huang Hyun Chul Jang D. Martin	2
+ PDF Chat	The spacetime positive mass theorem in dimensions less than eight	2015	Michael Eichmair Lan-Hsuan Huang Dan A. Lee Richard Schoen	2
+ PDF Chat	Harmonic Functions and the Mass of 3-Dimensional Asymptotically Flat Riemannian Manifolds	2022	Hubert L. Bray Demetre Kazaras Marcus Khuri Daniel Stern	2
+ PDF Chat	The mass of asymptotically hyperbolic Riemannian manifolds	2003	Piotr T. Chruściel Marc Herzlich	2
+ PDF Chat	Ricci curvature for metric-measure spaces via optimal transport	2009	John Lott Cédric Villani	2
+	Lectures on Geometric Measure Theory	1984	Leon Simon	2
+	Existence of Incompressible Minimal Surfaces and the Topology of Three Dimensional Manifolds with Non-Negative Scalar Curvature	1979	Richard Schoen Shing‐Tung Yau	2
+ PDF Chat	Volume Estimates on the Critical Sets of Solutions to Elliptic PDEs	2017	Aaron Naber Daniele Valtorta	2
+ PDF Chat	Four Lectures on Scalar Curvature	2023	Misha Gromov	2
+ PDF Chat	Ricci flow on asymptotically Euclidean manifolds	2018	Yu Li	2
+	A Morse-Sard theorem for the distance function on Riemannian manifolds	2004	Ludovic Rifford	2
+ PDF Chat	Interior estimates for hypersurfaces moving by mean curvature	1991	Klaus Ecker Gerhard Huisken	2
+ PDF Chat	Rigidity and Positivity of Mass for Asymptotically Hyperbolic Manifolds	2008	Lars Andersson Mingliang Cai Gregory J. Galloway	2
+ PDF Chat	Incompressible minimal surfaces, three-dimensional manifolds with nonnegative scalar curvature, and the positive mass conjecture in general relativity	1978	Richard Schoen Shing‐Tung Yau	2
+ PDF Chat	The mass of an asymptotically flat manifold	1986	Robert Bartnik	2
+ PDF Chat	POSITIVE MASS THEOREMS FOR ASYMPTOTICALLY ADS SPACETIMES WITH ARBITRARY COSMOLOGICAL CONSTANT	2008	Naqing Xie Xiao Zhang	2
+ PDF Chat	On the geometry of metric measure spaces. II	2006	Karl‐Theodor Sturm	2
+ PDF Chat	Geometric invariance of mass-like asymptotic invariants	2011	B. Michel	2
+	Convergence and rigidity of manifolds under Ricci curvature bounds	1990	Michael T. Anderson	2
+ PDF Chat	Observation of Gravitational Waves from a Binary Black Hole Merger	2016	B. P. Abbott R. Abbott T. D. Abbott M. R. Abernathy F. Acernese K. Ackley C. Adams T. Adams P. Addesso R. X. Adhikari	2
+	Volume comparison and the σk-Yamabe problem	2003	Matthew J. Gursky Jeff Viaclovsky	2
+ PDF Chat	On the structure of spaces with Ricci curvature bounded below. I	1997	Jeff Cheeger Tobias Colding	2
+	Scalar curvature and hammocks	1999	Joachim Lohkamp	2
+	The Penrose inequality in general relativity and volume comparison theorems involving scalar curvature	1997	Hubert L. Bray	2
+ PDF Chat	Metric Inequalities with Scalar Curvature	2018	Misha Gromov	2
+	Sharp estimates and the Dirac operator	1998	Marcelo Llarull	2
+	Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant	1998	Adam G. Riess A. V. Filippenko P. Challis A. Clocchiatti Alan H. Diercks P. Garnavich Ron Gilliland Craig J. Hogan Saurabh W. Jha R. Kirshner	2
+ PDF Chat	The Mass of Asymptotically Hyperbolic Manifolds	2001	Xiaodong Wang	2
+ PDF Chat	Equality in the Spacetime Positive Mass Theorem	2019	Lan-Hsuan Huang Dan A. Lee	2
+ PDF Chat	Rigid upper bounds for the angular momentum and centre of mass of non-singular asymptotically anti-de Sitter space-times	2006	Piotr T. Chruściel Daniel Maerten Paul Tod	1