An Index III lemma and Rauch III theorem & applications

Shengqi Hu; Xiaole Su; Yusheng Wang

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arXiv · 2401.03442

An Index III lemma and Rauch III theorem & applications

Shengqi Hu·Xiaole Su·Yusheng Wang

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Abstract

Inspired by Index I and II lemmas and Rauch I and II theorems, we formulate out an Index III lemma and Rauch III theorem in this paper. As applications, we present a Rauch's type theorem with lower Ricci curvature bound and a volume comparison result.

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Shengqi Hu, Xiaole Su, Yusheng Wang. 2024-01-07. An Index III lemma and Rauch III theorem & applications. https://arxiv.org/abs/2401.03442

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