Construction of Kähler surfaces with constant scalar curvature

Type: Article

Publication Date: 2009-10-31

Citations: 18

DOI: https://doi.org/10.4171/jems/172

Abstract

We present new constructions of Kähler metrics with constant scalar curvature on complex surfaces, in particular on certain del Pezzo surfaces. Some higher-dimensional examples are provided as well.

Locations

  • arXiv (Cornell University) - PDF
  • Journal of the European Mathematical Society - View - PDF

Similar Works

Action Title Year Authors
+ Construction of Kaehler surfaces with constant scalar curvature 2004 Yann Rollin
Michael A. Singer
+ Geometric Constructions of Extremal Metrics on Complex Manifolds 2014 Claudio Arezzo
+ PDF Chat A new method of constructing scalar-flat Kähler surfaces 1995 Jongsu Kim
Massimiliano Pontecorvo
+ A remark on Kähler metrics of constant scalar curvature on ruled complex surfaces 2004 Vestislav Apostolov
Christina W. Tønnesen-Friedman
+ Some results on compact Kähler surfaces with non-positive bisectional curvature 2009 Yu-Lin Chang
+ Kähler manifolds of quasi-constant holomorphic sectional curvature 2008 Cornelia-Livia Bejan
M. Benyounes
+ A survey of some results on complex Kahler manifolds 2015 James Morrow
+ On Kähler surfaces of constant positive scalar curvature 1995 Claude LeBrun
Santiago R. Simanca
+ The classification of the surfaces with parallel mean curvature vector in two-dimensional complex space forms 2000 Katsuei Kenmotsu
Detang Zhou
+ PDF Chat ON KÄHLER MANIFOLDS WITH CONSTANT SCALAR CURVATURE 1976 Teruo Iwatani
+ Stability and Einstein-Kähler Metric of a Quartic del Pezzo Surface 2020 Toshiki Mabuchi
Shigeru Mukai
+ PDF Chat Kähler manifolds with quasi-constant holomorphic curvature 2009 Włodzimierz Jelonek
+ On the complex geometry of a class of non-Kählerian manifolds 1999 J. J. Loeb
Marcel Nicolau
+ Kähler manifolds 2009 Mirjana Djorić
Mitsutaka Okumura
+ PDF Chat Hypersurfaces of complex projective space with constant scalar curvature 1967 Shôshichi Kobayashi
+ Constant scalar curvature metrics for complex manifolds 1975 Melvyn S. Berger
+ PDF Chat Construction of compact constant mean curvature hypersurfaces with topology 2012 Mohamed Jleli
+ On Kählerian Manifolds with Positive Holomorphic Sectional Curvature 1957 Yôtarô Tsukamoto
+ PDF Chat Kähler Manifolds Positive Ricci Curvature 2007 Boudjemâa Anchouche
+ A survey on complete noncompact Kähler manifolds of positive curvature 1984 Ngaiming Mok