Certain condition on the second fundamental form of CR submanifolds of maximal CR dimension of complex hyperbolic space |
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Authors: | Mirjana Djorić Masafumi Okumura |
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Affiliation: | 1.Faculty of Mathematics,University of Belgrade,Belgrade,Serbia;2.Kawasaki,Japan |
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Abstract: | Studying the condition ({h(FX,Y)-h(X,FY)=g(FX,Y)eta, 0neetain T^perp(M)}) on the almost contact structure F and on the second fundamental form h of n-dimensional real submanifolds M of complex hyperbolic space ({mathbb {CH}^{frac{n+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. |
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