Comparison Theorems on Weighted Finsler Manifolds and Spacetimes with ε-Range

被引：7

作者：

Lu, Yufeng ^{[1
]}

Minguzzi, Ettore ^{[2
]}

Ohta, Shin-ichi ^{[1
,3
]}

机构：

[1] Osaka Univ, Dept Math, Osaka, Japan

[2] Univ Firenze, Dipartimento Matemat & Informat U Dini, Florence, Italy

[3] RIKEN Ctr Adv Intelligence Project AIP, Nihonbashi, Tokyo, Japan

来源：

ANALYSIS AND GEOMETRY IN METRIC SPACES | 2022年 / 10卷 / 01期

关键词：

Ricci curvature; comparison theorem; Finsler manifold; Finsler spacetime; METRIC-MEASURE-SPACES; COMPARISON GEOMETRY; RICCI CURVATURE;

D O I：

10.1515/agms-2020-0131

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish the Bonnet-Myers theorem, Laplacian comparison theorem, and Bishop-Gromov volume comparison theorem for weighted Finsler manifolds as well as weighted Finsler spacetimes, of weighted Ricci curvature bounded below by using the weight function. These comparison theorems are formulated with epsilon-range introduced in our previous paper, that provides a natural viewpoint of interpolating weighted Ricci curvature conditions of different effective dimensions. Some of our results are new even for weighted Riemannian manifolds and generalize comparison theorems of Wylie-Yeroshkin and Kuwae-Li.

引用

页码：1 / 30

页数：30

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