Differential geometry of semi-invariant submanifolds of codimension 3 (Q2782499)

A Riemannian manifold \(M\) is called a CR submanifold of a Kählerian manifold (with complex structure \(J\)) if it admits a pair of complementary orthogonal distributions (\(H, V\)), where \(H\) is \(J\)-invariant and \(V\) is totally real. \(M\) is called a semi-invariant submanifold if \(\dim(V) = 1\). NEWLINENEWLINENEWLINEIn this paper, the author reviews the known classification results (with proofs of some key results) for semi-invariant submanifolds \(M\) of a complex space form and also of a complex projective space.NEWLINENEWLINEFor the entire collection see [Zbl 0980.00022].