LEADER 04035nam 22006855 450 001 9910805583703321 005 20241007162102.0 010 $a981-9992-58-3 010 $a9789819992584$b(ebook) 024 7 $a10.1007/978-981-99-9258-4 035 $a(MiAaPQ)EBC31075946 035 $a(Au-PeEL)EBL31075946 035 $a(DE-He213)978-981-99-9258-4 035 $a(CKB)30111401700041 035 $a(EXLCZ)9930111401700041 100 $a20240119d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aConformal Vector Fields, Ricci Solitons and Related Topics /$fby Ramesh Sharma, Sharief Deshmukh 205 $a1st ed. 2024. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2024. 215 $a1 online resource (xi, 158 pages) $cillustrations 225 1 $aInfosys Science Foundation Series in Mathematical Sciences,$x2364-4044 311 08$aPrint version: Sharma, Ramesh Conformal Vector Fields, Ricci Solitons and Related Topics Singapore : Springer Singapore Pte. Limited,c2024 9789819992577 320 $aIncludes bibliographical references and index. 327 $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. 330 $aThis book provides an up-to-date introduction to the theory of manifolds, submanifolds, semi-Riemannian geometry and warped product geometry, and their applications in geometry and physics. It then explores the properties of conformal vector fields and conformal transformations, including their fixed points, essentiality and the Lichnerowicz conjecture. Later chapters focus on the study of conformal vector fields on special Riemannian and Lorentzian manifolds, with a special emphasis on general relativistic spacetimes and the evolution of conformal vector fields in terms of initial data. The book also delves into the realm of Ricci flow and Ricci solitons, starting with motivations and basic results and moving on to more advanced topics within the framework of Riemannian geometry. The main emphasis of the book is on the interplay between conformal vector fields and Ricci solitons, and their applications in contact geometry. The book highlights the fact that Nil-solitons and Sol-solitons naturally arise in the study of Ricci solitons in contact geometry. Finally, the book gives a comprehensive overview of generalized quasi-Einstein structures and Yamabe solitons and their roles in contact geometry. It would serve as a valuable resource for graduate students and researchers in mathematics and physics as well as those interested in the intersection of geometry and physics. 410 0$aInfosys Science Foundation Series in Mathematical Sciences,$x2364-4044 606 $aGlobal analysis (Mathematics) 606 $aManifolds (Mathematics) 606 $aGeometry, Differential 606 $aGeneral relativity (Physics) 606 $aGlobal Analysis and Analysis on Manifolds 606 $aDifferential Geometry 606 $aGeneral Relativity 606 $aGeometria conforme$2thub 606 $aVarietats (Matemātica)$2thub 608 $aLlibres electrōnics$2thub 615 0$aGlobal analysis (Mathematics). 615 0$aManifolds (Mathematics). 615 0$aGeometry, Differential. 615 0$aGeneral relativity (Physics). 615 14$aGlobal Analysis and Analysis on Manifolds. 615 24$aDifferential Geometry. 615 24$aGeneral Relativity. 615 7$aGeometria conforme 615 7$aVarietats (Matemātica) 676 $a514.74 700 $aSharma$b Ramesh$f1953-$01738959 702 $aDeshmukh$b Sharief 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910805583703321 996 $aConformal vector fields, Ricci solitons and related topics$94161985 997 $aUNINA