LEADER 00831nam0-22002771i-450- 001 990001250800403321 035 $a000125080 035 $aFED01000125080 035 $a(Aleph)000125080FED01 035 $a000125080 100 $a20000920d1973----km-y0itay50------ba 101 0 $aeng 200 1 $aVariationsl Analysis . Critical Extremal an d Sturmian Extensions$fdi Morse, M. ù 210 $aNew York [etc.]$cJohn Wiley$d1973 225 1 $aPure and applied mathematics 610 0 $aCalcolo delle variazioni 700 1$aMorse,$bMarston$012306 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990001250800403321 952 $a5-L-22$b13687$fMA1 959 $aMA1 962 $a49-02 996 $aVariationsl Analysis . Critical Extremal an d Sturmian Extensions$9381844 997 $aUNINA DB $aING01 LEADER 04066nam 22005895 450 001 9911015684403321 005 20250712073512.0 010 $a981-9650-20-8 024 7 $a10.1007/978-981-96-5020-0 035 $a(MiAaPQ)EBC32201105 035 $a(Au-PeEL)EBL32201105 035 $a(CKB)39615172100041 035 $a(OCoLC)1527722659 035 $a(DE-He213)978-981-96-5020-0 035 $a(EXLCZ)9939615172100041 100 $a20250707d2025 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDifferential Geometry $eFoundations of Cauchy-Riemann and Pseudohermitian Geometry (Book I-C) /$fby Elisabetta Barletta, Sorin Dragomir, Mohammad Hasan Shahid, Falleh R. Al-Solamy 205 $a1st ed. 2025. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2025. 215 $a1 online resource (678 pages) 225 1 $aInfosys Science Foundation Series in Mathematical Sciences,$x2364-4044 311 08$a981-9650-19-4 327 $aCauchy?Riemann manifolds -- Pseudohermitian geometry -- Tangential Cauchy?Riemann complex -- Submanifolds of Hermitian and Sasakian manifolds. 330 $aThis book, Differential Geometry: Foundations of Cauchy?Riemann and Pseudohermitian Geometry (Book I-C), is the third in a series of four books presenting a choice of topics, among fundamental and more advanced, in Cauchy?Riemann (CR) and pseudohermitian geometry, such as Lewy operators, CR structures and the tangential CR equations, the Levi form, Tanaka?Webster connections, sub-Laplacians, pseudohermitian sectional curvature, and Kohn?Rossi cohomology of the tangential CR complex. Recent results on submanifolds of Hermitian and Sasakian manifolds are presented, from the viewpoint of the geometry of the second fundamental form of an isometric immersion. The book has two souls, those of Complex Analysis versus Riemannian geometry, and attempts to fill in the gap among the two. The other three books of the series are: Differential Geometry: Manifolds, Bundles, Characteristic Classes (Book I-A) Differential Geometry: Riemannian Geometry and Isometric Immersions (Book I-B) Differential Geometry: Advanced Topics in Cauchy?Riemann and Pseudohermitian Geometry (Book I-D) The four books belong to an ampler book project ?Differential Geometry, Partial Differential Equations, and Mathematical Physics?, by the same authors, and aim to demonstrate how certain portions of differential geometry (DG) and the theory of partial differential equations (PDEs) apply to general relativity and (quantum) gravity theory. These books supply some of the ad hoc DG and PDEs machinery yet do not constitute a comprehensive treatise on DG or PDEs, but rather authors? choice based on their scientific (mathematical and physical) interests. These are centered around the theory of immersions?isometric, holomorphic, and CR?and pseudohermitian geometry, as devised by Sidney Martin Webster for the study of nondegenerate CR structures, themselves a DG manifestation of the tangential CR equations. 410 0$aInfosys Science Foundation Series in Mathematical Sciences,$x2364-4044 606 $aGeometry, Differential 606 $aGlobal analysis (Mathematics) 606 $aManifolds (Mathematics) 606 $aDifferential Geometry 606 $aGlobal Analysis and Analysis on Manifolds 615 0$aGeometry, Differential. 615 0$aGlobal analysis (Mathematics) 615 0$aManifolds (Mathematics) 615 14$aDifferential Geometry. 615 24$aGlobal Analysis and Analysis on Manifolds. 676 $a516.36 700 $aBarletta$b Elisabetta$0307923 701 $aDragomir$b Sorin$0439634 701 $aShahid$b Mohammad Hasan$01786037 701 $aAl-Solamy$b Falleh R$01786038 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911015684403321 996 $aDifferential Geometry$94317452 997 $aUNINA