Differential Geometry and Analysis on CR Manifolds

1. Auflage 2006
ISBN: 978-0-8176-4388-1
Verlag: Springer Nature B.V.

Buch, Englisch, 488 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 1940 g

Reihe: Progress in Mathematics

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 provides a unified presentation of several differential geometric aspects in the theory of CR manifolds and tangential Cauchy–Riemann equations. 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.

Zielgruppe

Research

Autoren/Hrsg.

Dragomir, Sorin

Tomassini, Giuseppe

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung

Inhaltsverzeichnis

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.