Einstein Constraints and Ricci Flow is popular PDF and ePub book, written by Mauro Carfora in 2023-01-10, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Einstein Constraints and Ricci Flow can be Read Online from any device for your convenience.
Einstein Constraints and Ricci Flow Book PDF Summary
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.
Detail Book of Einstein Constraints and Ricci Flow PDF
- Author : Mauro Carfora
- Release : 10 January 2023
- Publisher : Springer Nature
- ISBN : 9789811985409
- Genre : Science
- Total Page : 181 pages
- Language : English
- PDF File Size : 18,9 Mb
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