Differential Geometry and Analysis on CR Manifolds / by Sorin Dragomir, Giuseppe Tomassini
(Progress in Mathematics ; 246)
| データ種別 | 電子ブック |
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| 出版者 | Boston, MA : Birkhäuser Boston |
| 出版年 | 2006 |
| 本文言語 | 英語 |
| 大きさ | XVI, 488 p : online resource |
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| 内容注記 | 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 |
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| 一般注記 | 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 |
| 著者標目 | *Dragomir, Sorin author Tomassini, Giuseppe author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Mathematical analysis LCSH:Analysis (Mathematics) LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Partial differential equations LCSH:Functions of complex variables LCSH:Differential geometry FREE:Mathematics FREE:Differential Geometry FREE:Global Analysis and Analysis on Manifolds FREE:Partial Differential Equations FREE:Several Complex Variables and Analytic Spaces FREE:Analysis |
| 分 類 | DC23:516.36 |
| 巻冊次 | ISBN:9780817644833 
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| ISBN | 9780817644833 |
| URL | http://dx.doi.org/10.1007/0-8176-4483-0 |
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