Rigidity and Infinitesimal Deformability of Ricci Solitons

被引：5

作者：

Kroencke, Klaus ^{[1
,2
]}

机构：

[1] Univ Regensburg, Fak Math, Univ Str 31, D-93053 Regensburg, Germany

[2] Univ Potsdam, Inst Math, Neuen Palais 10, D-14469 Potsdam, Germany

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2016年 / 26卷 / 03期

关键词：

Ricci solitons; Moduli space; Linearized equation; Integrability; EINSTEIN-METRICS;

D O I：

10.1007/s12220-015-9608-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：1795 / 1807

页数：13

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