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Real hypersurfaces of indefinite Kaehler manifolds

Author

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  • A. Bejancu
  • K. L. Duggal

Abstract

We show the existence of (  ϵ  )-almost contact metric structures and give examples of (  ϵ  )-Sasakian manifolds. Then we get a classification theorem for real hypersurfaces of indefinite complex space-forms with parallel structure vector field. We prove that (  ϵ  )-Sasakian real hypersurfaces of a semi-Euclidean space are either open sets of the pseudosphere S 2 S 2 n + 1 (1) or of the pseudohyperbolic space H 2 S − 1 2 n + 1 (1). Finally, we get the causal character of (  ϵ  ) cosymplectic real hypersurfaccs of indefinite complex space-forms.

Suggested Citation

  • A. Bejancu & K. L. Duggal, 1993. "Real hypersurfaces of indefinite Kaehler manifolds," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 16, pages 1-12, January.
    • Handle: RePEc:hin:jijmms:146792
    DOI: 10.1155/S0161171293000675
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    Cited by:

    1. Hichem El hendi, 2023. "Biharmonic Maps on f -Kenmotsu Manifolds with the Schouten–van Kampen Connection," Mathematics, MDPI, vol. 11(8), pages 1-15, April.
    2. D. G. Prakasha & M. R. Amruthalakshmi & Fatemah Mofarreh & Abdul Haseeb, 2022. "Generalized Lorentzian Sasakian-Space-Forms with M -Projective Curvature Tensor," Mathematics, MDPI, vol. 10(16), pages 1-14, August.
    3. Ali H. Hakami & Mohd. Danish Siddiqi & Aliya Naaz Siddiqui & Kamran Ahmad, 2023. "Solitons Equipped with a Semi-Symmetric Metric Connection with Some Applications on Number Theory," Mathematics, MDPI, vol. 11(21), pages 1-14, October.

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