Certain condition on the second fundamental form of CR submanifolds of maximal CR dimension of complex hyperbolic space

Abstract

Studying the condition h(FX, Y)-h(X, FY)=g(FX, Y)η, 0 ≠ η ∈ T ⊥(M) on the almost contact structure F and on the second fundamental form h of n-dimensional real submanifolds M of complex hyperbolic space CHn+p/2 when their maximal holomorphic tangent subspace is (n - 1)-dimensional, we obtain the complete classification of such submanifolds M and we characterize certain model spaces in complex hyperbolic space. © 2010 Springer Science+Business Media B.V.