Asymptotic behavior of the sectional curvature of the Bergman metric for annuli

2010 ◽  
Vol 98 (3) ◽  
pp. 291-299 ◽  
Author(s):  
Włodzimierz Zwonek
Keyword(s):  
Asymptotic Behavior ◽  
Sectional Curvature ◽  
Bergman Metric

scholarly journals The Bergman metric on a Thullen domain

1983 ◽  
Vol 89 ◽  
pp. 1-11 ◽  
Author(s):  
Kazuo Azukawa ◽  
Masaaki Suzuki
Keyword(s):  
Sectional Curvature ◽  
Holomorphic Sectional Curvature ◽  
Bergman Metric

In this paper we shall study the holomorphic sectional curvature of the Bergman metric on a domain

scholarly journals Characterizing the complex hyperbolic space by Kähler homogeneous structures

2000 ◽  
Vol 128 (1) ◽  
pp. 87-94 ◽  
Author(s):  
P. M. GADEA ◽  
A. MONTESINOS AMILIBIA ◽  
J. MUÑOZ MASQUÉ
Keyword(s):  
Sectional Curvature ◽  
Hyperbolic Space ◽  
Complex Hyperbolic Space ◽  
Homogeneous Structure ◽  
Holomorphic Sectional Curvature ◽  
Bergman Metric ◽  
Negative Constant ◽  
Homogeneous Structures ◽  
Simply Connected

The Kähler case of Riemannian homogeneous structures [3, 15, 18] has been studied in [1, 2, 6, 7, 13, 16], among other papers. Abbena and Garbiero [1] gave a classification of Kähler homogeneous structures, which has four primitive classes [Kscr ]1, …, [Kscr ]4 (see [6, theorem 5·1] for another proof and Section 2 below for the result). The purpose of the present paper is to prove the following result:THEOREM 1·1. A simply connected irreducible homogeneous Kähler manifold admits a nonvanishing Kähler homogeneous structure in Abbena–Garbiero's class [Kscr ]2 [oplus ] [Kscr ]4if and only if it is the complex hyperbolic space equipped with the Bergman metric of negative constant holomorphic sectional curvature.

ON A PERFECT FLUID K¨ AHLER SPACETIME

2016 ◽  
Vol 12 (3) ◽  
pp. 4350-4355
Author(s):  
VIBHA SRIVASTAVA ◽  
P. N. PANDEY
Keyword(s):  
Field Equation ◽  
Perfect Fluid ◽  
Sectional Curvature ◽  
Einstein Field Equation ◽  
Cosmological Term ◽  
Conformal Killing ◽  
Killing Vectors ◽  
Projectively Flat ◽  
Conformal Killing Vectors

The object of the present paper is to study a perfect fluid K¨ahlerspacetime. A perfect fluid K¨ahler spacetime satisfying the Einstein field equation with a cosmological term has been studied and the existence of killingand conformal killing vectors have been discussed. Certain results related to sectional curvature for pseudo projectively flat perfect fluid K¨ahler spacetime have been obtained. Dust model for perfect fluid K¨ahler spacetime has also been studied.

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