A Comprehensive Review of Solitonic Inequalities in Riemannian Geometry

Autor:	Chen, Bang-Yen, Choudhary, Majid Ali, Nisar, Mohammed, Siddiqi, Mohd Danish
Rok vydání:	2024
Předmět:	Mathematics - Differential Geometry 53B25 53C1 53C20 53C21 53C25 53C40
Druh dokumentu:	Working Paper
Popis:	In Riemannian geometry, Ricci soliton inequalities are an important field of study that provide profound insights into the geometric and analytic characteristics of Riemannian manifolds. An extensive study of Ricci soliton inequalities is given in this review article, which also summarizes their historical evolution, core ideas, important findings, and applications. We investigate the complex interactions between curvature conditions and geometric inequalities as well as the several kinds of Ricci solitons, such as expanding, steady, and shrinking solitons. We also go over current developments, unresolved issues, and possible paths for further study in this fascinating area. Comment: 26 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.05312 Zobrazit plný text záznamu View this record from Arxiv