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Sinopsis
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.
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Acerca del autor
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 Ambjørn and Mauro Carfora of the Springer Lecture Notes in Physics The Geometry of Dynamical Triangulations (Springer LNP m50).
De la contraportada
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.
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Einstein Constraints and Ricci Flow : A Geometrical Averaging of Initial Data Sets
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Springer Nature Singapore, 2023
ISBN 10: 9811985391
ISBN 13: 9789811985393
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Condición: Hervorragend. Zustand: Hervorragend | Seiten: 188 | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 40804040/1
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Einstein Constraints and Ricci Flow
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Springer Nature Singapore, 2023
ISBN 10: 9811985391
ISBN 13: 9789811985393
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Condición: 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. Nº de ref. del artículo: 748635294
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Einstein Constraints and Ricci Flow: A Geometrical Averaging of Initial Data Sets (Mathematical Physics Studies)
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Einstein Constraints and Ricci Flow
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Springer Nature Singapore Jan 2023, 2023
ISBN 10: 9811985391
ISBN 13: 9789811985393
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Buch. Condición: 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. Nº de ref. del artículo: 9789811985393
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Einstein Constraints and Ricci Flow: A Geometrical Averaging of Initial Data Sets
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Einstein Constraints and Ricci Flow : A Geometrical Averaging of Initial Data Sets
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Springer Nature Singapore, Springer Nature Singapore, 2023
ISBN 10: 9811985391
ISBN 13: 9789811985393
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Buch. Condición: 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. Nº de ref. del artículo: 9789811985393
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Einstein Constraints and Ricci Flow: A Geometrical Averaging of Initial Data Sets (Mathematical Physics Studies)
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Einstein Constraints and Ricci Flow
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ISBN 10: 9811985391
ISBN 13: 9789811985393
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Buch. Condición: Neu. 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. Nº de ref. del artículo: 9789811985393
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Einstein Constraints and Ricci Flow: A Geometrical Averaging of Initial Data Sets (Mathematical Physics Studies)
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Einstein Constraints and Ricci Flow: A Geometrical Averaging of Initial Data Sets (Mathematical Physics Studies)
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