English

A Schur's type volume comparison theorem

Differential Geometry 2024-02-06 v1

Abstract

In this paper, inspired by Schur's comparison theorem about curves in Euclidean space, we mainly provide a Schur's type volume comparison theorem, which is about the volumes of the boundaries of open balls in a complete nn-dimensional Riemannian manifold with Ricci(n1)k\geq (n-1)k.

Keywords

Cite

@article{arxiv.2402.01984,
  title  = {A Schur's type volume comparison theorem},
  author = {Xiaole Su and Yi Tan and Yusheng Wang},
  journal= {arXiv preprint arXiv:2402.01984},
  year   = {2024}
}

Comments

12 pages

R2 v1 2026-06-28T14:36:53.924Z