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Einstein Constraints and Ricci Flow: A Geometrical Averaging of Initial Data Sets

-15% su kodu: ENG15
172,77 
Įprasta kaina: 203,26 
-15% su kodu: ENG15
Kupono kodas: ENG15
Akcija baigiasi: 2025-03-03
-15% su kodu: ENG15
172,77 
Įprasta kaina: 203,26 
-15% su kodu: ENG15
Kupono kodas: ENG15
Akcija baigiasi: 2025-03-03
-15% su kodu: ENG15
2025-02-28 203.2600 InStock
Nemokamas pristatymas į paštomatus per 11-15 darbo dienų užsakymams nuo 20,00 

Knygos aprašymas

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.

Informacija

Autorius: Annalisa Marzuoli, Mauro Carfora,
Serija: Mathematical Physics Studies
Leidėjas: Springer Nature Singapore
Išleidimo metai: 2024
Knygos puslapių skaičius: 188
ISBN-10: 9811985421
ISBN-13: 9789811985423
Formatas: 235 x 155 x 11 mm. Knyga minkštu viršeliu
Kalba: Anglų

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