Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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SCREEN SEMI-INVARIANT LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KENMOTSU STATISTICAL MANIFOLD

  • Mobin Ahmad (Department of Mathematics and Statistics Integral University) ;
  • Mahtab Alam (Department of Mathematics Faculty of Applied Science Shri Ramswaroop Memorial College of Engineering and Management) ;
  • Sahadat Ali (Department of Mathematics Faculty of Applied Science Shri Ramswaroop Memorial College of Engineering and Management)
  • Received : 2025.01.15
  • Accepted : 2025.07.25
  • Published : 2025.10.31
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Abstract

In this article, we introduce an indefinite Kenmotsu statistical manifold and study its screen semi-invariant lightlike submanifolds. We investigate the integrability of distributions, self adjointness of shape operator and symmetricity of second fundamental forms of screen semi-invariant lightlike submanifolds of an indefinite Kenmotsu statistical manifold. We also provide two examples to illustrate these concepts.

Keywords

Acknowledgement

This work was financially supported by KRF 2003-041-C20009. All authors would like to thank Integral University, Lucknow, India, for providing the manuscript number IU/R&D/2023-MCN0002024 for the present research work.

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