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008 240119s2024 si | s |||| 0|eng d
020 _a9789819992584
_9978-981-99-9258-4
024 7 _a10.1007/978-981-99-9258-4
_2doi
050 4 _aQA614-614.97
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
100 1 _aSharma, Ramesh.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_969681
245 1 0 _aConformal Vector Fields, Ricci Solitons and Related Topics
_h[electronic resource] /
_cby Ramesh Sharma, Sharief Deshmukh.
250 _a1st ed. 2024.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2024.
300 _aXI, 158 p. 1 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aInfosys Science Foundation Series in Mathematical Sciences,
_x2364-4044
505 0 _a1 Manifolds and Submanifolds Reviewed -- 2 Lie Group And Lie Derivative -- 3 Conformal Transformations -- 4 Conformal Vector Fields -- 5 Integral Formulas And Conformal Vector Fields.
520 _aThis book provides an up-to-date introduction to the theory of manifolds, submanifolds, semi-Riemannian geometry and warped product geometry, and their applications in geometry and physics. It then explores the properties of conformal vector fields and conformal transformations, including their fixed points, essentiality and the Lichnerowicz conjecture. Later chapters focus on the study of conformal vector fields on special Riemannian and Lorentzian manifolds, with a special emphasis on general relativistic spacetimes and the evolution of conformal vector fields in terms of initial data. The book also delves into the realm of Ricci flow and Ricci solitons, starting with motivations and basic results and moving on to more advanced topics within the framework of Riemannian geometry. The main emphasis of the book is on the interplay between conformal vector fields and Ricci solitons, and their applications in contact geometry. The book highlights the fact that Nil-solitons and Sol-solitons naturally arise in the study of Ricci solitons in contact geometry. Finally, the book gives a comprehensive overview of generalized quasi-Einstein structures and Yamabe solitons and their roles in contact geometry. It would serve as a valuable resource for graduate students and researchers in mathematics and physics as well as those interested in the intersection of geometry and physics.
650 0 _aGlobal analysis (Mathematics).
_969682
650 0 _aManifolds (Mathematics).
_969683
650 0 _aGeometry, Differential.
_969684
650 0 _aGeneral relativity (Physics).
650 1 4 _aGlobal Analysis and Analysis on Manifolds.
_969685
650 2 4 _aDifferential Geometry.
_969686
650 2 4 _aGeneral Relativity.
700 1 _aDeshmukh, Sharief.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_969687
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789819992577
776 0 8 _iPrinted edition:
_z9789819992591
776 0 8 _iPrinted edition:
_z9789819992607
830 0 _aInfosys Science Foundation Series in Mathematical Sciences,
_x2364-4044
_969688
856 4 0 _uhttps://doi.org/10.1007/978-981-99-9258-4
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c57237
_d57237