The Log-Sobolev inequality for a submanifold in manifolds with asymptotic non-negative intermediate Ricci curvature

Jihye Lee; Fabio Ricci

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arXiv · 2304.02672

The Log-Sobolev inequality for a submanifold in manifolds with asymptotic non-negative intermediate Ricci curvature

Jihye Lee·Fabio Ricci

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Abstract

We prove a sharp Log-Sobolev inequality for submanifolds of a complete non-compact Riemannian manifold with asymptotic non-negative intermediate Ricci curvature and Euclidean volume growth. Our work extends a result of Dong-Lin-Lu which already generalizes Yi-Zheng: arXiv:2104.05045 and Brendle: arXiv:1908.10360v3.

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BibTeX RIS

Jihye Lee, Fabio Ricci. 2023-04-05. The Log-Sobolev inequality for a submanifold in manifolds with asymptotic non-negative intermediate Ricci curvature. https://arxiv.org/abs/2304.02672

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