Geometry of Cauchy-Riemann Submanifolds
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Beschreibung
This book gathers contributions by respected experts on the theory of isometric immersions between Riemannian manifolds, and focuses on the geometry of CR structures on submanifolds in Hermitian manifolds. CR structures are a bundle theoretic recast of the tangential Cauchy–Riemann equations in complex analysis involving several complex variables. The book covers a wide range of topics such as Sasakian geometry, Kaehler and locally conformal Kaehler geometry, the tangential CR equations, Lorentzian geometry, holomorphic statistical manifolds, and paraquaternionic CR submanifolds.
Intended as a tribute to Professor Aurel Bejancu, who discovered the notion of a CR submanifold of a Hermitian manifold in 1978, the book provides an up-to-date overview of several topics in the geometry of CR submanifolds. Presenting detailed information on the most recent advances in the area, it represents a useful resource for mathematicians and physicists alike.This book gathers contributions by respected experts on the theory of isometric immersions between Riemannian manifolds, and focuses on the geometry of CR structures on submanifolds in Hermitian manifolds. CR structures are a bundle theoretic recast of the tangential Cauchy–Riemann equations in complex analysis involving several complex variables. The book covers a wide range of topics such as Sasakian geometry, Kaehler and locally conformal Kaehler geometry, the tangential CR equations, Lorentzian geometry, holomorphic statistical manifolds, and paraquaternionic CR submanifolds.Intended as a tribute to Professor Aurel Bejancu, who discovered the notion of a CR submanifold of a Hermitian manifold in 1978, the book provides an up-to-date overview of several topics in the geometry of CR submanifolds. Presenting detailed information on the most recent advances in the area, it represents a useful resource for mathematicians and physicists alike.
Presents a collection of reports on the most recent results on CR submanifolds in various ambient spaces Explores the applications of CR geometry, and in particular the theory of CR submanifolds, to other scientific areas Attempts to fill in the gap between the geometry of the second fundamental form of a CR submanifold and the more mathematical analysis oriented aspects of CR geometry Pays a tribute to Professor Aurel Bejancu, the 1978 discoverer of the notion of a CR submanifold of a Hermitian manifold Includes supplementary material: sn.pub/extras
Autor*in
Sorin Dragomir
Themen in »Geometry of Cauchy-Riemann Submanifolds«
CR-submanifolds Kaehler manifold Sasakian manifolds Cauchy–Riemann structure Semi-Riemannian submersions Differential geometry Riemannian geometry