A note on the moment map on compact Kahler manifolds

被引：8

作者：

Gori, A ^{[1
]}

Podestà, F ^{[1
]}

机构：

[1] Dipartimento Matemat & Appl Architettura, I-50100 Florence, Italy

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2004年 / 26卷 / 03期

关键词：

Kahler manifolds; moment mapping; flag manifolds;

D O I：

10.1023/B:AGAG.0000042928.71614.3a

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider compact Kahler manifolds acted on effectively by a connected compact Lie group K of isometries in a Hamiltonian fashion. We prove that the squared moment map ||mu||(2) is constant if and only if K is semisimple and the manifold is biholomorphically and K-equivariantly isometric to a product of a flag manifold and a compact Kahler manifold which is acted on trivially by K.

引用

页码：315 / 318

页数：4