Conformal Vector Fields Ricci Solitons and Related Topics is popular PDF and ePub book, written by Ramesh Sharma in 2024-01-19, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Conformal Vector Fields Ricci Solitons and Related Topics can be Read Online from any device for your convenience.
Conformal Vector Fields Ricci Solitons and Related Topics Book PDF Summary
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 contact geometry. It would serve as a valuable resource for graduate students and researchers in mathematics and physics as well as those interested in the intersection of geometry and physics.
Detail Book of Conformal Vector Fields Ricci Solitons and Related Topics PDF
- Author : Ramesh Sharma
- Release : 19 January 2024
- Publisher : Springer Nature
- ISBN : 9789819992584
- Genre : Mathematics
- Total Page : 165 pages
- Language : English
- PDF File Size : 13,5 Mb
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