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

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

Hardcover

Series: Mathematical Physics Studies

GeometryPhysics

ISBN10: 9811985391
ISBN13: 9789811985393
Publisher: Springer Nature
Published: Jan 11 2023
Pages: 173
Weight: 0.97
Height: 0.50 Width: 6.14 Depth: 9.21
Language: English
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.

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Carfora, Mauro

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