Details

Differential Geometry and Analysis on CR Manifolds


Differential Geometry and Analysis on CR Manifolds


Progress in Mathematics, Band 246

von: Sorin Dragomir, Giuseppe Tomassini

171,19 €

Verlag: Birkhäuser
Format: PDF
Veröffentl.: 10.06.2007
ISBN/EAN: 9780817644833
Sprache: englisch
Anzahl Seiten: 487

Dieses eBook enthält ein Wasserzeichen.

Beschreibungen

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.
<P>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.</P>
<P></P>
<P>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.</P>
<P></P>
<P>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.</P>
Presents many major differential geometric acheivements in the theory of CR manifolds for the first time in book form Explains how certain results from analysis are employed in CR geometry Many examples and explicitly worked-out proofs of main geometric results in the first section of the book making it suitable as a graduate main course or seminar textbook Provides unproved statements and comments inspiring further study
<P>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 been recently made to understand the differential geometric side of the subject. This monograph&nbsp;provides a unified presentation of several differential geometric aspects in the theory of CR manifolds and tangential&nbsp;Cauchy–Riemann equations. Motivated by clear&nbsp;exposition, many examples, explicitly worked-out geometric results, and stimulating unproved statements and comments referring to the most recent aspects of the theory,&nbsp;this monograph&nbsp;is suitable&nbsp;for researchers and graduate students in differential geometry, complex analysis, and PDEs.</P>

Diese Produkte könnten Sie auch interessieren:

The Breadth of Symplectic and Poisson Geometry
The Breadth of Symplectic and Poisson Geometry
von: Jerrold E. Marsden, Tudor S. Ratiu
PDF ebook
160,49 €
Complex, Contact and Symmetric Manifolds
Complex, Contact and Symmetric Manifolds
von: Oldrich Kowalski, Emilio E. Musso, Domenico Perrone
PDF ebook
149,79 €
The Unity of Mathematics
The Unity of Mathematics
von: Pavel Etingof, Vladimir S. Retakh, I. M. Singer
PDF ebook
181,89 €