paper

On isometry groups of gradient Ricci solitons

arXiv:2406.06997

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.

18 pages, comments welcome

On isometry groups of gradient Ricci solitons · wovepaper