Differential Geometry and Analysis on CR Manifolds

• Main Authors: Dragomir, Sorin (Author), Tomassini, Giuseppe (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2006.
• Series: Progress in Mathematics ; 246
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Global analysis (Mathematics).; Manifolds (Mathematics).; Partial differential equations.; Functions of complex variables.; Differential geometry.; Differential Geometry.; Global Analysis and Analysis on Manifolds.; Partial Differential Equations.; Several Complex Variables and Analytic Spaces.; Analysis.

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 ef...

Table of Contents:

• 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.