Name: Conformal Vector Fields, Ricci Solitons and Related Topics
Price: 115.65 EUR
Availability: InStock
Author: Sharma, Ramesh ; Deshmukh, Sharief
ISBN: 9789819992577

portada Conformal Vector Fields, Ricci Solitons and Related Topics

Conformal Vector Fields, Ricci Solitons and Related Topics

Type

Physical Book

Author

Ramesh Sharma

Sharief Deshmukh

Publisher

Springer

Language

English

Pages

158

Format

Hardcover

Dimensions

23.4 x 15.6 x 1.1 cm

Weight

0.42 kg.

ISBN13

9789819992577

Synopsis "Conformal Vector Fields, Ricci Solitons and Related Topics"

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.