齐次环丛上的 Kaehler-Ricci 孤立子 (I)
微分几何
2007-05-23 v1
摘要
这是两篇系列论文的第一篇。此处，就旗流形 G^C/P 上的齐次环丛类，通过辛数据给出了 Fano 流形的一个简单代数刻画。本文的结果用于第二篇论文，其中证明了旗流形上的齐次环丛承认 Kaehler-Ricci 孤立子度量当且仅当它是 Fano 的。
引用
@article{arxiv.math/0604070,
title = {Kaehler-Ricci solitons on homogeneous toric bundles (I)},
author = {Fabio Podesta' and Andrea Spiro},
journal= {arXiv preprint arXiv:math/0604070},
year = {2007}
}
备注
This is a new version of our previously posted paper "Homogeneous toric bundles with c_1(M)>0". The differences are mainly in the Abstract, Introdution and Title. This new version has been made necessary by the new results given in the next paper "Kaehler-Ricci solitons on homogeneous toric bundles (II)"