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Einstein constraints and Ricci flow ...

Carfora, Mauro.

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Einstein constraints and Ricci flow = a geometrical averaging of initial data sets /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Einstein constraints and Ricci flow/ by Mauro Carfora, Annalisa Marzuoli.
其他題名:	a geometrical averaging of initial data sets /
作者:	Carfora, Mauro.
其他作者:	Marzuoli, Annalisa.
出版者:	Singapore :Springer Nature Singapore : : 2023.,
面頁冊數:	xii, 173 p. :ill. (chiefly color), digital ;24 cm.
內容註:	Introduction -- Geometric preliminaries -- Ricci ﬂow background -- Ricci ﬂow conjugation of initial data sets -- Concluding remarks.
Contained By:	Springer Nature eBook
標題:	General relativity (Physics) - Mathematics. -
電子資源:	https://doi.org/10.1007/978-981-19-8540-9
ISBN:	9789811985409

Einstein constraints and Ricci flow = a geometrical averaging of initial data sets /
Carfora, Mauro.

Einstein constraints and Ricci flowa geometrical averaging of initial data sets /[electronic resource] :by Mauro Carfora, Annalisa Marzuoli. - Singapore :Springer Nature Singapore :2023. - xii, 173 p. :ill. (chiefly color), digital ;24 cm. - Mathematical physics studies,2352-3905. - Mathematical physics studies..

Introduction -- Geometric preliminaries -- Ricci ﬂow background -- Ricci ﬂow conjugation of initial data sets -- Concluding remarks.

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.

ISBN: 9789811985409

Standard No.: 10.1007/978-981-19-8540-9doiSubjects--Topical Terms:

906707
General relativity (Physics)
--Mathematics.

LC Class. No.: QC173.6 / .C37 2023

Dewey Class. No.: 530.1101516362

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