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

Carfora, Mauro; Marzuoli, Annalisa

9789811985423: Einstein Constraints and Ricci Flow: A Geometrical Averaging of Initial Data Sets

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ISBN 10 : 9811985421 ISBN 13 : 9789811985423

Editeur : Springer, 2024

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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.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

� propos de l?auteur

Mauro Carfora is Professor of Mathematical Physics at the University of Pavia, Italy. He is co-author with Annalisa Marzuoli of the Springer Lecture Notes in Physics Quantum Triangulations (LNP 845 and LNP 942), and illustrator of the popular relativity book Flat and Curved Spacetimes by George. F. R. Ellis and Ruth Williams.
Annalisa Marzuoli is Associate Professor of Mathematical Physics at the University of Pavia, Italy. She is co-author with Jan Ambj�rn and Mauro Carfora of the Springer Lecture Notes in Physics The Geometry of Dynamical Triangulations (Springer LNP m50).

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteurSpringer
Date d'�dition2024
ISBN 10 9811985421
ISBN 13 9789811985423
ReliureBroch�
Langueanglais
Nombre de pages188
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9789811985393: Einstein Constraints and Ricci Flow: A Geometrical Averaging of Initial Data Sets

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ISBN 10 : 9811985391 ISBN 13 : 9789811985393
Editeur : Springer Verlag, Singapore, 2023
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Einstein Constraints and Ricci Flow

Mauro Carfora|Annalisa Marzuoli

Edit� par Springer Nature Singapore, 2024

ISBN 10 : 9811985421 ISBN 13 : 9789811985423

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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Deals with the application of Ricci flow to the comparison and averaging of Einstein s initial data setsIntroduces Ricci flow conjugation between two distinct Einstein initial data sets, providing analysis of its propertiesProves Fourier mo. N� de r�f. du vendeur 1303461136

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Einstein Constraints and Ricci Flow: A Geometrical Averaging of Initial Data Sets (Mathematical Physics Studies)

Carfora, Mauro; Marzuoli, Annalisa

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Einstein Constraints and Ricci Flow

Annalisa Marzuoli

Edit� par Springer Nature Singapore Jan 2024, 2024

ISBN 10 : 9811985421 ISBN 13 : 9789811985423

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 188 pp. Englisch. N� de r�f. du vendeur 9789811985423

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Einstein Constraints and Ricci Flow

Annalisa Marzuoli

Edit� par Springer Nature Singapore, Springer Nature Singapore Jan 2024, 2024

ISBN 10 : 9811985421 ISBN 13 : 9789811985423

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 188 pp. Englisch. N� de r�f. du vendeur 9789811985423

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

Annalisa Marzuoli

Edit� par Springer Nature Singapore, Springer Nature Singapore, 2024

ISBN 10 : 9811985421 ISBN 13 : 9789811985423

Neuf Taschenbuch

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N� de r�f. du vendeur 9789811985423

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