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001453911 001__ 1453911
001453911 003__ OCoLC
001453911 005__ 20230314003451.0
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001453911 019__ $$a1361715331
001453911 020__ $$a9789811985409$$q(electronic bk.)
001453911 020__ $$a9811985405$$q(electronic bk.)
001453911 020__ $$z9789811985393
001453911 020__ $$z9811985391
001453911 0247_ $$a10.1007/978-981-19-8540-9$$2doi
001453911 035__ $$aSP(OCoLC)1359038041
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001453911 049__ $$aISEA
001453911 050_4 $$aQC173.6
001453911 08204 $$a530.1101516362$$223/eng/20230123
001453911 1001_ $$aCarfora, M.$$q(Mauro),$$eauthor.
001453911 24510 $$aEinstein constraints and Ricci flow :$$ba geometrical averaging of initial data sets /$$cMauro Carfora, Annalisa Marzuoli.
001453911 264_1 $$aSingapore :$$bSpringer,$$c[2023]
001453911 264_4 $$c©2023
001453911 300__ $$a1 online resource (xii, 173 pages) :$$billustrations (chiefly color).
001453911 336__ $$atext$$btxt$$2rdacontent
001453911 337__ $$acomputer$$bc$$2rdamedia
001453911 338__ $$aonline resource$$bcr$$2rdacarrier
001453911 347__ $$atext file$$bPDF$$2rda
001453911 4901_ $$aMathematical physics studies,$$x2352-3905
001453911 504__ $$aIncludes bibliographical references and index.
001453911 5050_ $$aIntroduction -- Geometric preliminaries -- Ricci ow background -- Ricci ow conjugation of initial data sets -- Concluding remarks.
001453911 506__ $$aAccess limited to authorized users.
001453911 520__ $$aThis 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. .
001453911 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed January 23, 2023).
001453911 650_0 $$aGeneral relativity (Physics)$$xMathematics.
001453911 650_0 $$aRicci flow.
001453911 655_0 $$aElectronic books.
001453911 7001_ $$aMarzuoli, A.$$q(Annalisa),$$eauthor.
001453911 77608 $$iPrint version: $$z9811985391$$z9789811985393$$w(OCoLC)1349449514
001453911 830_0 $$aMathematical physics studies.$$x2352-3905
001453911 852__ $$bebk
001453911 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-19-8540-9$$zOnline Access$$91397441.1
001453911 909CO $$ooai:library.usi.edu:1453911$$pGLOBAL_SET
001453911 980__ $$aBIB
001453911 980__ $$aEBOOK
001453911 982__ $$aEbook
001453911 983__ $$aOnline
001453911 994__ $$a92$$bISE