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arXiv · 2312.07845

Gap Theorem on manifolds with small curvature concentration

Pak-Yeung Chan·Man-Chun Lee
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Abstract

In this work, we show that complete non-compact manifolds with non-negative Ricci curvature, Euclidean volume growth and sufficiently small curvature concentration are necessarily flat Euclidean space.

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BibTeXRIS

Pak-Yeung Chan, Man-Chun Lee. 2023-12-13. Gap Theorem on manifolds with small curvature concentration. https://arxiv.org/abs/2312.07845

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