Kaehler metrics on G^C
微分几何
2007-05-23 v2
摘要
We study G-invariant Kaehler metrics on G^C from the Hamiltonian point of view. As an application we show that there exist (GxG)-invariant Ricci-flat Kaehler metrics on G^C for any compact semisimple Lie group G.
引用
@article{arxiv.math/0202255,
title = {Kaehler metrics on G^C},
author = {Roger Bielawski},
journal= {arXiv preprint arXiv:math/0202255},
year = {2007}
}
备注
13 pages, to appear in Crelle. Statement of Theorem 1 strengthened to show existence of Kaehler metrics with arbitrary GxG-invariant Ricci form. Introduction rewritten and references added. Minor corrections