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Korean Mathematical Society (대한수학회)
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ON LIGHTLIKE HYPERSURFACES OF COSYMPLECTIC SPACE FORM

  • Ejaz Sabir Lone (Department of Mathematics School of Chemical Engineering and Physical Sciences Lovely Professional University) ;
  • Pankaj Pandey (Department of Mathematics School of Chemical Engineering and Physical Sciences Lovely Professional University)
  • Received : 2022.01.20
  • Accepted : 2022.06.24
  • Published : 2023.01.31
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Abstract

The main purpose of this paper is to study the lightlike hypersurface (M, $\overline{g}$) of cosymplectic space form $\overline{M}$(c). In this paper, we computed the Gauss and Codazzi formulae of (M, $\overline{g}$) of cosymplectic manifold ($\overline{M}$, g). We showed that we can't obtain screen semi-invariant lightlike hypersurface (SCI-LH) of $\overline{M}$(c) with parallel second fundamental form h, parallel screen distribution and c ≠ 0. We showed that if second fundamental form h and local second fundamental form B are parallel, then (M, $\overline{g}$) is totally geodesic. Finally we showed that if (M, $\overline{g}$) is umbilical, then cosymplectic manifold ($\overline{M}$, g) is flat.

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Acknowledgement

Authors would like to express their gratitude to editors and referees for their valuable suggestions for improving quality of this research paper.

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