تقرير
A Comprehensive Review of Solitonic Inequalities in Riemannian Geometry
| العنوان: | A Comprehensive Review of Solitonic Inequalities in Riemannian Geometry |
|---|---|
| المؤلفون: | Chen, Bang-Yen, Choudhary, Majid Ali, Nisar, Mohammed, Siddiqi, Mohd Danish |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, 53B25, 53C1, , 53C20, 53C21, 53C25, 53C40 |
| الوصف: | 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 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2408.05312 |
| رقم الأكسشن: | edsarx.2408.05312 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |