Results 131 to 140 of about 21,501 (172)

Cohomogeneity one Kähler and Kähler–Einstein manifolds with one singular orbit I

Annals of Global Analysis and Geometry, 2016
Let M be a cohomogeneity one manifold of a compact semisimple Lie group G with one singular orbit $$S_0 = G/H$$S0=G/H. Then M is G-diffeomorphic to the total space $$G \times _H V$$G×HV of the homogeneous vector bundle over $$S_0$$S0 defined by a sphere ...
D. Alekseevsky, F. Zuddas
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Cohomogeneity one Kähler and Kähler–Einstein manifolds with one singular orbit II

Annals of Global Analysis and Geometry, 2019
Podestà and Spiro (Osaka J Math 36(4):805–833, 1999) introduced a class of G -manifolds M with a cohomogeneity one action of a compact semisimple Lie group G which admit an invariant Kähler structure ( g ,  J ) (“standard G -manifolds”) and studied ...
D. Alekseevsky, F. Zuddas
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Rigidity Theorems of Complete Kähler-Einstein Manifolds and Complex Space Forms

Acta Mathematica Scientia, 2019
We concentrate on using the traceless Ricci tensor and the Bochner curvature tensor to study the rigidity problems for complete Kähler manifolds. We derive some elliptic differential inequalities from Weitzenb¨ock formulas for the traceless Ricci tensor ...
Tian Chong, Yuxin Dong, He-zi Lin, Yibin Ren   +3 more
semanticscholar   +2 more sources

Toric para-Kähler-Einstein manifolds immersed in para-Kähler space forms

Journal of Geometry and Physics
A classical and long-staying problem addressed, among others, by Calabi and Chern, is that to find a complete list of mutually non-isometric Kaehler-Einstein manifolds immersed in a finite-dimensional Kaehler space form.
Gianni Manno, Filippo Salis
semanticscholar   +1 more source

On the Renormalized Volume of Tubes Over Polarized Kähler–Einstein Manifolds

, 2017
A formula of the renormalized volume of tubes over polarized Kähler–Einstein manifolds is given in terms of the Einstein constant and the volume of the polarization.
Yuya Takeuchi
semanticscholar   +1 more source

Kähler–Einstein metrics on quasi-projective manifolds

Mathematische Annalen, 2023
Let X be a compact Kähler manifold and D be a simple normal crossing divisor on X such that KX+D\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs ...
Quang-Tuan Dang, Duc-Viet Vu
semanticscholar   +1 more source

Degeneration of Kahler-Einstein manifolds I: The normal crossing case

, 2003
In this paper we prove that the Kahler–Einstein metrics for a degeneration family of Kahler manifolds with ample canonical bundles converge in the sense of Cheeger–Gromov to the complete Kahler–Einstein metric on the smooth part of the central fiber when
Wei-Dong Ruan
semanticscholar   +1 more source

Convergence of Lagrangian mean curvature flow in Kähler–Einstein manifolds

, 2009
In this paper, we give some convergence results of Lagrangian mean curvature flow under some stability conditions in a general K\"ahler-Einstein manifold.
Haozhao Li
semanticscholar   +1 more source

Eigenvalue estimates for the Dirac operator on Kähler–Einstein manifolds of even complex dimension

, 2009
In the case of a Kähler–Einstein manifold of positive scalar curvature and even complex dimension, an improved lower bound for the first eigenvalue of the Dirac operator is given.
K. Kirchberg
semanticscholar   +1 more source

On coupled Kähler-Einstein metrics and weighted solitons on Fano manifolds

Surveys in Differential Geometry
We consider coupled K\"ahler-Einstein metrics and weighted solitons on Fano manifolds. These are natural generalizations of K\"ahler-Einstein metrics.
A. Futaki
semanticscholar   +1 more source