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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.
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