On Sasaki-Ricci solitons and their deformations
Differential Geometry
2013-07-15 v1
Abstract
We extend to the Sasakian setting a result of Tian and Zhu about the decomposition of the Lie algebra of holomorphic vector fields on a K\"ahler manifold in the presence of a K\"ahler-Ricci soliton. Furthermore we apply known deformations of Sasakian structures to a Sasaki-Ricci soliton to obtain a stability result concerning \emph{generalized} Sasaki-Ricci solitons, generalizing Li in the K\"ahler setting and also He and Song by relaxing some of their assumptions.
Keywords
Cite
@article{arxiv.1307.3410,
title = {On Sasaki-Ricci solitons and their deformations},
author = {David Petrecca},
journal= {arXiv preprint arXiv:1307.3410},
year = {2013}
}
Comments
16 pages. Comments and remarks are welcome