國立高雄大學圖資館 |

Language: English

Back

Einstein constraints and Ricci flowa geometrical averaging of initial data sets /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Einstein constraints and Ricci flowby Mauro Carfora, Annalisa Marzuoli.
Reminder of title:	a geometrical averaging of initial data sets /
Author:	Carfora, Mauro.
other author:	Marzuoli, Annalisa.
Published:	Singapore :Springer Nature Singapore :2023.
Description:	xii, 173 p. :ill. (chiefly color), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	General relativity (Physics)Mathematics.
Online resource:	https://doi.org/10.1007/978-981-19-8540-9
ISBN:	9789811985409$q(electronic bk.)

Einstein constraints and Ricci flowa 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$q(electronic bk.)

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

267058
General relativity (Physics)
--Mathematics.

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

Dewey Class. No.: 530.1101516362

Einstein constraints and Ricci flowa geometrical averaging of initial data sets /
LDR:02424nmm a2200337 a 4500 001 640503
003 DE-He213
005 20230110133516.0
006 m d
007 cr nn 008maaau
008 231025s2023 si s 0 eng d
020 $a 9789811985409$q(electronic bk.)
020 $a 9789811985393$q(paper)
024 7 $a 10.1007/978-981-19-8540-9 $2 doi
035 $a 978-981-19-8540-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QC173.6 $b .C37 2023
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHU $2 thema
082 0 4 $a 530.1101516362 $2 23
090 $a QC173.6 $b .C276 2023
100 1 $a Carfora, Mauro. $3 466742
245 1 0 $a Einstein constraints and Ricci flow $h [electronic resource] : $b a geometrical averaging of initial data sets / $c by Mauro Carfora, Annalisa Marzuoli.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2023.
300 $a xii, 173 p. : $b ill. (chiefly color), digital ; $c 24 cm.
490 1 $a Mathematical physics studies, $x 2352-3905
505 0 $a Introduction -- Geometric preliminaries -- Ricci ﬂow background -- Ricci ﬂow conjugation of initial data sets -- Concluding remarks.
520 $a 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.
650 0 $a General relativity (Physics) $x Mathematics. $3 267058
650 0 $a Ricci flow. $3 359870
650 1 4 $a Mathematical Physics. $3 522725
650 2 4 $a Differential Geometry. $3 273785
700 1 $a Marzuoli, Annalisa. $3 466741
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Mathematical physics studies. $3 684220
856 4 0 $u https://doi.org/10.1007/978-981-19-8540-9
950 $a Physics and Astronomy (SpringerNature-11651)