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Titlebook: Conformal Vector Fields, Ricci Solitons and Related Topics; Ramesh Sharma,Sharief Deshmukh Book 2024 The Editor(s) (if applicable) and The

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書目名稱Conformal Vector Fields, Ricci Solitons and Related Topics
編輯Ramesh Sharma,Sharief Deshmukh
視頻videohttp://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
叢書名稱Infosys Science Foundation Series
圖書封面Titlebook: Conformal Vector Fields, Ricci Solitons and Related Topics;  Ramesh Sharma,Sharief Deshmukh Book 2024 The Editor(s) (if applicable) and The
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
關鍵詞Submanifolds; Lie Group; Conformal Vector Fields; Quasi-Einstein Manifolds; Riemannian and Lorentzian Ge
版次1
doihttps://doi.org/10.1007/978-981-99-9258-4
isbn_softcover978-981-99-9260-7
isbn_ebook978-981-99-9258-4Series ISSN 2363-6149 Series E-ISSN 2363-6157
issn_series 2363-6149
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
The information of publication is updating

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Conformal Transformations,and new metrics. It also provides a brief account of some important tensors and their behavior under conformal transformations. Finally, isometries on Riemannian and Lorentzian manifolds have been discussed.
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2363-6149 ol-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 c978-981-99-9260-7978-981-99-9258-4Series ISSN 2363-6149 Series E-ISSN 2363-6157
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2363-6149 y between conformal vector fields and Ricci solitons and theThis 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 vecto
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Hans Moonen,Jos van Hillegersbergforms, followed by linear connection and curvature tensor. Later, we briefly introduce the semi-Riemannian metric, its Levi-Civita connection and curvature tensors. Then we recall the basic notion and equations of submanifolds of semi-Riemannian manifolds. Finally, we present basic concepts and form
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