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<title>Majid Ali Choudhary — Neckpinch</title><link>https://neckpinch.com/authors/majid-ali-choudhary/</link><description>New arXiv papers by Majid Ali Choudhary, from Neckpinch</description>
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<item><title>A Comprehensive Review of Solitonic Inequalities in Riemannian Geometry</title><link>https://neckpinch.com/papers/2408.05312/</link><guid isPermaLink="false">arxiv:2408.05312</guid><pubDate>Fri, 09 Aug 2024 00:00:00 GMT</pubDate><description>Bang-Yen Chen, Majid Ali Choudhary, Mohammed Nisar, Mohd Danish Siddiqi — 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.</description><category>Ricci solitons</category><category>Geometric inequalities</category></item>
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