Download An Introduction to Cr Structures (Mathematical Surveys and by Howard Jacobowitz PDF

By Howard Jacobowitz

The geometry and research of CR manifolds is the topic of this expository paintings, which offers the entire uncomplicated effects in this subject, together with effects from the ``folklore'' of the topic. The e-book features a cautious exposition of seminal papers by means of Cartan and by way of Chern and Moser, and in addition comprises chapters at the geometry of chains and circles and the lifestyles of nonrealizable CR buildings. With its certain remedy of foundational papers, the e-book is principally beneficial in that it gathers in a single quantity many effects that have been scattered during the literature. Directed at mathematicians and physicists trying to comprehend CR constructions, this self-contained exposition can also be appropriate as a textual content for a graduate direction for college students drawn to numerous advanced variables, differential geometry, or partial differential equations. a specific power is an intensive bankruptcy that prepares the reader for Cartan's method of differential geometry. The ebook assumes in basic terms the standard first-year graduate classes as heritage.

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