On isometry groups of gradient Ricci solitons
Differential Geometry
2024-06-12 v1
Abstract
We give a result estimating the dimension of the Lie algebra of Killing vector fields on an irreducible non-trivial gradient Ricci soliton. Then we study the structure of this manifold when the maximal dimension is attained. There are local and global implications.
Keywords
Cite
@article{arxiv.2406.06997,
title = {On isometry groups of gradient Ricci solitons},
author = {Ha Tuan Dung and Hung Tran},
journal= {arXiv preprint arXiv:2406.06997},
year = {2024}
}
Comments
18 pages, comments welcome