Einstein Constraints and Ricci Flow : A Geometrical Averaging of Initial Data Sets
2023 ed.
Book Details
Format
Hardback or Cased Book
Book Series
Mathematical Physics Studies
ISBN-10
9811985391
ISBN-13
9789811985393
Edition
2023 ed.
Publisher
Springer Verlag, Singapore
Imprint
Springer Verlag, Singapore
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jan 11th, 2023
Print length
173 Pages
Product Classification:
Differential & Riemannian geometryMathematical physics
Ksh 19,800.00
Werezi Extended Catalogue
Delivery in 28 days
Delivery Location
Delivery fee: Select location
Delivery in 28 days
Secure
Quality
Fast
This book contains a self-consistent treatment of a geometric averaging technique, induced by the Ricci flow, that allows comparing a given (generalized) Einstein initial data set with another distinct Einstein initial data set, both supported on a given closed n-dimensional manifold.
This book contains a self-consistent treatment of a geometric averaging technique, induced by the Ricci flow, that allows comparing a given (generalized) Einstein initial data set with another distinct Einstein initial data set, both supported on a given closed n-dimensional manifold.
This is a case study where two vibrant areas of research in geometric analysis, Ricci flow and Einstein constraints theory, interact in a quite remarkable way. The interaction is of great relevance for applications in relativistic cosmology, allowing a mathematically rigorous approach to the initial data set averaging problem, at least when data sets are given on a closed space-like hypersurface.
The book does not assume an a priori knowledge of Ricci flow theory, and considerable space is left for introducing the necessary techniques. These introductory parts gently evolve to a detailed discussion of the more advanced results concerning a Fourier-mode expansion and a sophisticated heat kernel representation of the Ricci flow, both of which are of independent interest in Ricci flow theory.
This work is intended for advanced students in mathematical physics and researchers alike.
Get Einstein Constraints and Ricci Flow by at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by Springer Verlag, Singapore and it has pages.
