Einstein constraints and Ricci flow : a geometrical averaging of initial data sets / Mauro Carfora, Annalisa Marzuoli.
Carfora, M. (Mauro), author.; Marzuoli, A. (Annalisa), author.
2023
QC173.6
Available Online

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Title Einstein constraints and Ricci flow : a geometrical averaging of initial data sets / Mauro Carfora, Annalisa Marzuoli.
Author Carfora, M. (Mauro), author.
ISBN 9789811985409 (electronic bk.)
9811985405 (electronic bk.)
9789811985393
9811985391
DOI https://doi.org/10.1007/978-981-19-8540-9
Published Singapore : Springer, [2023]
Copyright ©2023
Language English
Description 1 online resource (xii, 173 pages) : illustrations (chiefly color).
Item Number 10.1007/978-981-19-8540-9 doi
Call Number QC173.6
Dewey Decimal Classification 530.1101516362
Summary 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. .
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Digital File Characteristics text file PDF
Source of Description Online resource; title from PDF title page (SpringerLink, viewed January 23, 2023).
Added Author Marzuoli, A. (Annalisa), author.
Series Mathematical physics studies. 2352-3905
Available in Other Form Print version: 9789811985393
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Record Appears in Online Resources > Ebooks
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Introduction
Geometric preliminaries
Ricci ow background
Ricci ow conjugation of initial data sets
Concluding remarks.

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