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Certain submanifolds of complex space forms

  • Special Section: An Homage to Manfredo P. do Carmo
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Abstract

After recalling the geometric meaning of the commutativity of the second fundamental tensor of a real hypersurface of a complex space form and its induced almost contact structure, we present some classification theorems for CR submanifolds of maximal CR dimension and submanifolds of real codimension two of complex space forms \({\overline{M}}\), under the algebraic condition on the second fundamental form of the submanifold and the endomorphism induced from the natural almost complex structure of \({\overline{M}}\) on the tangent bundle of the submanifold.

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Acknowledgements

The first author is partially supported by Ministry of Education, Science and Technological Development, Republic of Serbia, Project 174012.

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Authors and Affiliations

  1. University of Belgrade, Faculty of Mathematics, 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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Corresponding author

Correspondence to Mirjana Djorić.

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Communicated by Elisha Falbel.

Dedicated to the memory of Manfredo do Carmo.

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Djorić, M., Okumura, M. Certain submanifolds of complex space forms. São Paulo J. Math. Sci. 15, 111–126 (2021). https://doi.org/10.1007/s40863-020-00174-4

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