Rigidity and infinitesimal deformability of Ricci solitons
Differential Geometry
2016-08-16 v2
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.
Keywords
Cite
@article{arxiv.1408.6751,
title = {Rigidity and infinitesimal deformability of Ricci solitons},
author = {Klaus Kroencke},
journal= {arXiv preprint arXiv:1408.6751},
year = {2016}
}
Comments
11 pages, final version, to appear in J. Geom. Anal