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math.DG2024
A Schur's type volume comparison theorem
Xiaole Su, Yi Tan, Yusheng Wang
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…
math.DG2024
An Index III lemma and Rauch III theorem & applications
Shengqi Hu, Xiaole Su, Yusheng Wang
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 t…