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Hauptverfasser: Su, Xiaole, Tan, Yi, Wang, Yusheng
Format: Preprint
Veröffentlicht: 2024
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Online-Zugang:https://arxiv.org/abs/2402.01984
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author Su, Xiaole
Tan, Yi
Wang, Yusheng
author_facet Su, Xiaole
Tan, Yi
Wang, Yusheng
contents 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 $n$-dimensional Riemannian manifold with Ricci$\geq (n-1)k$.
format Preprint
id arxiv_https___arxiv_org_abs_2402_01984
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Schur's type volume comparison theorem
Su, Xiaole
Tan, Yi
Wang, Yusheng
Differential Geometry
53C20
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 $n$-dimensional Riemannian manifold with Ricci$\geq (n-1)k$.
title A Schur's type volume comparison theorem
topic Differential Geometry
53C20
url https://arxiv.org/abs/2402.01984