Téléchargez le livre : Einstein Constraints and Ricci Flow

Einstein Constraints and Ricci Flow

A Geometrical Averaging of Initial Data Sets de

,

Éditeur :

Springer


Collection :

Mathematical Physics Studies

Paru le : 2023-01-10

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Description

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. 
Pages
173 pages
Collection
Mathematical Physics Studies
Parution
2023-01-10
Marque
Springer
EAN papier
9789811985393
EAN PDF
9789811985409
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
17
Taille du fichier
3113 Ko
Prix
116,04 €
EAN EPUB
9789811985409
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
17
Taille du fichier
27515 Ko
Prix
116,04 €

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