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WARPED PRODUCT SKEW SEMI-INVARIANT SUBMANIFOLDS OF LOCALLY GOLDEN RIEMANNIAN MANIFOLDS

  • Ahmad, Mobin (Department of Mathematics and Statistics, Faculty of Science, Integral University) ;
  • Qayyoom, Mohammad Aamir (Department of Mathematics and Statistics, Faculty of Science, Integral University)
  • Received : 2021.03.11
  • Accepted : 2021.12.13
  • Published : 2022.03.25
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Abstract

In this paper, we define and study warped product skew semi-invariant submanifolds of a locally golden Riemannian manifold. We investigate a necessary and sufficient condition for a skew semi-invariant submanifold of a locally golden Riemannian manifold to be a locally warped product. An equality between warping function and the squared normed second fundamental form of such submanifolds is established. We also construct an example of warped product skew semi-invariant submanifolds.

Keywords

Acknowledgement

All authors would like to thank the referees for their valuable suggestions in improving the manuscript. Authors also thank Integral University, Lucknow, India, for providing the manuscript number IU/R&D/2020-MCN0001013 for the present research work.

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