Rigidity and Infinitesimal Deformability of Ricci Solitons

Kroencke, Klaus (2016) Rigidity and Infinitesimal Deformability of Ricci Solitons. JOURNAL OF GEOMETRIC ANALYSIS, 26 (3). pp. 1795-1807. ISSN 1050-6926, 1559-002X

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: EINSTEIN-METRICS; Ricci solitons; Moduli space; Linearized equation; Integrability
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 09 Apr 2019 11:56
Last Modified: 09 Apr 2019 11:56
URI: https://pred.uni-regensburg.de/id/eprint/3706

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