| 书目名称 | Conformal Vector Fields, Ricci Solitons and Related Topics | | 编辑 | Ramesh Sharma,Sharief Deshmukh | | 视频video | http://file.papertrans.cn/236/235422/235422.mp4 | | 概述 | Masters manifold theory, conformal transformations, and Ricci solitons to enhance your skills in geometry and physics.Discovers the interplay between conformal vector fields and Ricci solitons and the | | 丛书名称 | Infosys Science Foundation Series | | 图书封面 |  | | 描述 | This book provides an up-to-date introduction to the theory of manifolds, submanifolds, semi-Riemannian geometry and warped product geometry, and their applications in geometry and physics. It then explores the properties of conformal vector fields and conformal transformations, including their fixed points, essentiality and the Lichnerowicz conjecture. Later chapters focus on the study of conformal vector fields on special Riemannian and Lorentzian manifolds, with a special emphasis on general relativistic spacetimes and the evolution of conformal vector fields in terms of initial data..The book also delves into the realm of Ricci flow and Ricci solitons, starting with motivations and basic results and moving on to more advanced topics within the framework of Riemannian geometry. The main emphasis of the book is on the interplay between conformal vector fields and Ricci solitons, and their applications in contact geometry. The book highlights the fact that Nil-solitons and Sol-solitons naturally arise in the study of Ricci solitons in contact geometry. Finally, the book gives a comprehensive overview of generalized quasi-Einstein structures and Yamabe solitons and their roles in c | | 出版日期 | Book 2024 | | 关键词 | Submanifolds; Lie Group; Conformal Vector Fields; Quasi-Einstein Manifolds; Riemannian and Lorentzian Ge | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-99-9258-4 | | isbn_softcover | 978-981-99-9260-7 | | isbn_ebook | 978-981-99-9258-4Series ISSN 2363-6149 Series E-ISSN 2363-6157 | | issn_series | 2363-6149 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
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