Titlebook: CR Submanifolds of Complex Projective Space; Mirjana Djoric,Masafumi Okumura Book 2010 Springer-Verlag New York 2010 CR Submanifolds.Comp

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Hypersurfaces of a sphere with parallel shape operator,ch satisfy a certain condition. The condition that the shape operator is parallel is its special case. In this section we give the proof of this classification (in the specific case .) and furthermore, we show that the algebraic condition (13.5) on the shape operator implies that it is parallel.

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CR submanifolds of maximal CR dimension,position 7.8 let us suppose that the ambient space is a complex manifold . equipped with a Hermitian metric .. If . is an .-dimensional CR submanifold of maximal CR dimension of ., then at each point . of ., the real dimension of . is ..

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Real hypersurfaces of a complex projective space,. is the distinguished normal vector field, used to define the almost contact structure . on ., induced from the almost complex structure . of .. Moreover, since a real hypersurface . of a Kähler manifold . has two geometric structures: an almost contact structure . and a submanifold structure repre

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978-1-4614-2477-2Springer-Verlag New York 2010

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Mirjana Djoric,Masafumi OkumuraPresents many recent developments and results in the study of CR submanifolds not previously published.Provides a self-contained introduction to complex differential geometry.Provides relevant techniq

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