03308nam a22005295i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003100118050001400149072001700163072002300180082001500203100003000218245012000248264004600368300003400414336002600448337002600474338003600500347002400536490003500560505023800595520131500833650001702148650002702165650002802192650003502220650002902255650003602284650003602320650002702356650001702383650002702400650004702427650003602474650005102510650001402561700003402575710003402609773002002643776003602663830003502699856004402734978-0-8176-4483-3DE-He21320180115171433.0cr nn 008mamaa100301s2006 xxu| s |||| 0|eng d a97808176448337 a10.1007/0-8176-4483-02doi 4aQA641-670 7aPBMP2bicssc 7aMAT0120302bisacsh04a516.362231 aDragomir, Sorin.eauthor.10aDifferential Geometry and Analysis on CR Manifoldsh[electronic resource] /cby Sorin Dragomir, Giuseppe Tomassini. 1aBoston, MA :bBirkhäuser Boston,c2006. aXVI, 488 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aProgress in Mathematics ;v2460 aCR Manifolds -- The Fefferman Metric -- The CR Yamabe Problem -- Pseudoharmonic Maps -- Pseudo-Einsteinian Manifolds -- Pseudo-Hermitian Immersions -- Quasiconformal Mappings -- Yang-Mills Fields on CR Manifolds -- Spectral Geometry. aThe study of CR manifolds lies at the intersection of three main mathematical disciplines: partial differential equations, complex analysis in several complex variables, and differential geometry. While the PDE and complex analytic aspects have been intensely studied in the last fifty years, much effort has recently been made to understand the differential geometric side of the subject. This monograph provides a unified presentation of several differential geometric aspects in the theory of CR manifolds and tangential Cauchy–Riemann equations. It presents the major differential geometric acheivements in the theory of CR manifolds, such as the Tanaka–Webster connection, Fefferman's metric, pseudo-Einstein structures and the Lee conjecture, CR immersions, subelliptic harmonic maps as a local manifestation of pseudoharmonic maps from a CR manifold, Yang–Mills fields on CR manifolds, to name a few. It also aims at explaining how certain results from analysis are employed in CR geometry. Motivated by clear exposition, many examples, explicitly worked-out geometric results, and stimulating unproved statements and comments referring to the most recent aspects of the theory, this monograph is suitable for researchers and graduate students in differential geometry, complex analysis, and PDEs. 0aMathematics. 0aMathematical analysis. 0aAnalysis (Mathematics). 0aGlobal analysis (Mathematics). 0aManifolds (Mathematics). 0aPartial differential equations. 0aFunctions of complex variables. 0aDifferential geometry.14aMathematics.24aDifferential Geometry.24aGlobal Analysis and Analysis on Manifolds.24aPartial Differential Equations.24aSeveral Complex Variables and Analytic Spaces.24aAnalysis.1 aTomassini, Giuseppe.eauthor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780817643881 0aProgress in Mathematics ;v24640uhttp://dx.doi.org/10.1007/0-8176-4483-0