### Construction of Kähler surfaces with constant scalar curvature

Yann Rollin, Michael Singer (2009)

Journal of the European Mathematical Society

Similarity:

Skip to main content (access key 's'),
Skip to navigation (access key 'n'),
Accessibility information (access key '0')

Yann Rollin, Michael Singer (2009)

Journal of the European Mathematical Society

Similarity:

Sai-Kee Yeung (1990)

Inventiones mathematicae

Similarity:

Zbigniew Olszak (2003)

Colloquium Mathematicae

Similarity:

It is proved that there exists a non-semisymmetric pseudosymmetric Kähler manifold of dimension 4.

Claude LeBrun (1991)

Journal für die reine und angewandte Mathematik

Similarity:

Sai Kee Yeung (1995)

Journal für die reine und angewandte Mathematik

Similarity:

R. Goto (1994)

Geometric and functional analysis

Similarity:

Jongsu Kim, C., Pontecorvo, M. LeBrun (1997)

Journal für die reine und angewandte Mathematik

Similarity:

Sławomir Dinew (2007)

Annales Polonici Mathematici

Similarity:

We study Cegrell classes on compact Kähler manifolds. Our results generalize some theorems of Guedj and Zeriahi (from the setting of surfaces to arbitrary manifolds) and answer some open questions posed by them.

S.-T. Yau, F. Zheng (1993)

Mathematische Zeitschrift

Similarity:

Simone Calamai, David Petrecca (2017)

Complex Manifolds

Similarity:

In this short note, we prove that a Calabi extremal Kähler-Ricci soliton on a compact toric Kähler manifold is Einstein. This settles for the class of toric manifolds a general problem stated by the authors that they solved only under some curvature assumptions.

Claude LeBrun, Simon Salamon (1994)

Inventiones mathematicae

Similarity:

Julien Keller, Christina Tønnesen-Friedman (2012)

Open Mathematics

Similarity:

We provide nontrivial examples of solutions to the system of coupled equations introduced by M. García-Fernández for the uniformization problem of a triple (M; L; E), where E is a holomorphic vector bundle over a polarized complex manifold (M, L), generalizing the notions of both constant scalar curvature Kähler metric and Hermitian-Einstein metric.

Sai-Kee Yeung (1990)

Mathematische Zeitschrift

Similarity:

Fangyang Zheng (1995)

Mathematische Zeitschrift

Similarity:

Huai-Dong Cao (1985)

Inventiones mathematicae

Similarity:

Włodzimierz Jelonek (2014)

Colloquium Mathematicae

Similarity:

The aim of this paper is to describe all Kähler manifolds with quasi-constant holomorphic sectional curvature with κ = 0.