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An Index III lemma and Rauch III theorem & applications

Shengqi Hu, Xiaole Su, Yusheng Wang

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.

An Index III lemma and Rauch III theorem & applications

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.
Paper Structure (2 sections, 34 equations)

This paper contains 2 sections, 34 equations.

Table of Contents

  1. Main results
  2. Proofs of main results