Rigidity and Infinitesimal Deformability of Ricci Solitons

被引：0
|
作者：
Klaus Kröncke
机构：
[1] Universität Regensburg,Fakultät für Mathematik
[2] Universität Potsdam,Institut für Mathematik
来源：
The Journal of Geometric Analysis | 2016年 / 26卷
关键词：
Ricci solitons; Moduli space; Linearized equation ; Integrability; 53C25; 53C21;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, an obstruction against the integrability of certain infinitesimal solitonic deformations is given. Using this obstruction, we show that the complex projective spaces of even complex dimension are rigid as Ricci solitons although they have infinitesimal solitonic deformations.
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页码：1795 / 1807
页数：12
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