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arXiv · 2406.06997

On isometry groups of gradient Ricci solitons

Ha Tuan Dung·Hung Tran
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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.

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Ha Tuan Dung, Hung Tran. 2024-06-11. On isometry groups of gradient Ricci solitons. https://arxiv.org/abs/2406.06997

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