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arXiv · 1609.03247

Geometric properties of self-shrinkers in cylinder shrinking Ricci solitons

Matheus Vieira·Detang Zhou
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Abstract

In this paper we prove some spectral properties of the drifted Laplacian of self-shrinkers properly immersed in gradient shrinking Ricci solitons. Then we use these results to prove some geometric properties of self-shrinkers. For example, we describe a collection of domains in the ambient space that cannot contain self-shrinkers.

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Matheus Vieira, Detang Zhou. 2016-09-12. Geometric properties of self-shrinkers in cylinder shrinking Ricci solitons. https://arxiv.org/abs/1609.03247

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