Kahler-Ricci solitons on toric manifolds with positive first Chern class

被引：204

作者：

Wang, XJ ^{[1
]}

Zhu, XH ^{[1
]}

机构：

[1] Australian Natl Univ, Ctr Math & Applicat, Canberra, ACT 0200, Australia

来源：

ADVANCES IN MATHEMATICS | 2004年 / 188卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

Kahler-Ricci soliton; Toric Fano manifold; Monge-Ampere equation;

D O I：

10.1016/j.aim.2003.09.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove there exists a Kahler-Ricci soliton, unique up to holomorphic automorphisms, on any toric Kahler manifold with positive first Chern class, and the Kahler Ricci soliton is a Kahler-Einstein metric if and only if the Futaki invariant vanishes. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：87 / 103

页数：17

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