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＜電子ブック＞
Differential Geometry and Analysis on CR Manifolds / by Sorin Dragomir, Giuseppe Tomassini
(Progress in Mathematics. ISSN:2296505X ; 246)

版	1st ed. 2006.
出版者	(Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser)
出版年	2006
本文言語	英語
大きさ	XVI, 488 p : online resource
著者標目	*Dragomir, Sorin author Tomassini, Giuseppe author SpringerLink (Online service)
件　名	LCSH:Geometry, Differential LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Differential equations LCSH:Functions of complex variables LCSH:Mathematical analysis FREE:Differential Geometry FREE:Global Analysis and Analysis on Manifolds FREE:Differential Equations FREE:Several Complex Variables and Analytic Spaces FREE:Analysis
一般注記	CR 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 The 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 HTTP:URL=https://doi.org/10.1007/0-8176-4483-0

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