Extremal Kahler metrics and Hamiltonian functions

被引：3

作者：

Chave, T

Pedersen, H

Tonnesen-Friedman, C

Valent, G

机构：

[1] Univ Paris 07, CNRS, URA 280, Phys Theor & Hautes Energies Lab, F-75251 Paris 05, France

[2] Odense Univ, Dept Math & Comp Sci, DK-5230 Odense, Denmark

[3] Univ Aarhus, Dept Math Sci, DK-8000 Aarhus C, Denmark

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 1999年 / 31卷 / 01期

关键词：

extremal; Kahler; Einstein; Hamiltonian;

D O I：

10.1016/S0393-0440(98)00069-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Assuming a real torus acting on a Kahler manifold through holomorphic isometries, we obtain an ansatz for extremal Kahler metrics and we get new extremal metrics on some CP1-bundles over products of Kahler-Einstein manifolds of negative scalar curvature. We prove that one of the extremal metrics in four dimensions is locally conformally Einstein. (C) 1999 Published by Elsevier Science B.V, All rights reserved.

引用

页码：25 / 34

页数：10

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