Shrinking Ricci solitons and homology n-spheres

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-04-04 DOI:10.1016/j.jmaa.2025.129560

Chandan Kumar Mondal

引用次数: 0

Abstract

In this short note, we find a sufficient curvature condition for a compact, orientable, shrinking Ricci soliton to become an n-homology sphere.

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收缩里奇孤子与同调n球

在这篇简短的笔记中，我们发现一个紧致的、可定向的、收缩的里奇孤子成为一个n-同调球的充分曲率条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.