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

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Abstract

Studying the condition \({h(FX,Y)-h(X,FY)=g(FX,Y)\eta, 0\ne\eta\in T^\perp(M)}\) 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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Authors and Affiliations

  1. Faculty of Mathematics, University of Belgrade, Studentski trg 16, pb. 550, 11000, Belgrade, Serbia

    Mirjana Djorić

  2. 5-25-25, Minami Ikuta, Tama-ku, Kawasaki, Japan

    Masafumi Okumura

Authors
  1. Mirjana Djorić
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  2. Masafumi Okumura
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Correspondence to Mirjana Djorić.

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Djorić, M., Okumura, M. Certain condition on the second fundamental form of CR submanifolds of maximal CR dimension of complex hyperbolic space. Ann Glob Anal Geom 39, 1–12 (2011). https://doi.org/10.1007/s10455-010-9215-3

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  • DOI: https://doi.org/10.1007/s10455-010-9215-3

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