Cantitate/Preț
Produs
Total produse
Vezi coșul
Einstein Constraints and Ricci Flow de Mauro Carfora

Einstein Constraints and Ricci Flow: Mathematical Physics Studies

Autor Mauro Carfora, Annalisa Marzuoli
en Limba Engleză Hardback – 11 ian 2023
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. 

Citește tot Restrânge

Din seria Mathematical Physics Studies

Preț: 75321 lei

Preț vechi: 91856 lei
-18%

Puncte Express: 1130
Paperback 69719 lei
Hardback 75321 lei

Carte tipărită la comandă

Livrare economică 02-16 decembrie

Livrare prin curier în România Termenul estimat este afișat lângă disponibilitate.
Transport gratuit pentru acest produs Plată online sau ramburs, în funcție de opțiunile comenzii.
Retur gratuit în 14 zile Comandă securizată și suport în română.
 Adaugă în coș

Wish list
Gift list
Am citit!
Adaugă în listă

Specificații

ISBN-13: 9789811985393
ISBN-10: 9811985391
Pagini: 188
Ilustrații: XII, 173 p. 33 illus., 32 illus. in color.
Dimensiuni: 160 x 241 x 16 mm
Greutate: 0.4 kg
Ediția:1st ed. 2023
Editura: Springer
Colecția Mathematical Physics Studies
Seria Mathematical Physics Studies

Locul publicării:Singapore, Singapore

Cuprins

Introduction.- Geometric preliminaries.- Ricci flow background.- Ricci flow conjugation of initial data sets.- Concluding remarks.

Notă biografică

Mauro Carfora, 19 received his Laurea in Physics from the University of Rome La Sapienza in 1977, and his PhD from University of Texas at Dallas in 1981. He has held positions at several Italian Universities and is a full professor of Mathematical Physics at the University of Pavia since 2001. Also, he has held visiting positions in universities and research institutions abroad, among which the University of California at Berkeley and Santa Barbara, USA, and the Nils Bohr Institute, Copenhagen, Denmark. His research interests include Geometrical Analysis, and Combinatorial methods in theoretical and mathematical Physics. Applications in quantum gravity and moduli space theory. Ricci flow on Riemannian manifolds. Applications of geometric flows to theoretical and mathematical Phyics. Renormalization group flow and geometrical flows. Relativistic cosmology. Annalisa Marzuoli received her Laurea in Physics in 1979. She held a research fellowship of the National Research Council inMathematical Physics from 1979-1984. Then she was a researcher in Theoretical Physics, until she became an associate professor in 2000, all at the University of Pavia. Her current fields of research include geometric and algebraic aspects of condensed matter systems (graphene and topological insulators) and of Topological Quantum Field Theories, with applications to quantum computing. Quantum integrable systems, their semiclassical analysis and relations with the Askey-Wilson scheme of hypergeometric orthogonal polynomials, with applications to atomic and molecular physics and to discretized gravity models. Improvement of interconnected algebraic, geometric and combinatorial methods to model many-body (quantum and lattice) systems.

Textul de pe ultima copertă

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. 

Caracteristici

Deals with the application of Ricci flow to the comparison and averaging of Einstein's initial data sets Introduces Ricci flow conjugation between two distinct Einstein initial data sets, providing analysis of its properties Proves Fourier modes expansion and heat kernel estimates for Ricci flow of independent interest in Ricci flow theory