On quasi hemi-slant submanifolds of LP-cosymplectic manifolds

M S, Siddesha; M M, Praveena; C S, Bagewadi

doi:10.30495/maca.2021.1934998.1016

On quasi hemi-slant submanifolds of LP-cosymplectic manifolds

https://doi.org/10.30495/maca.2021.1934998.1016

Volume 3, Issue 3
Summer 2021

Pages 39-49

Mathematical Analysis and its Contemporary Applications

Document Type : Original Article

Authors

Siddesha M S ¹

Praveena M M ²

Bagewadi C S ³

¹ Department of Mathematics, Jain (Deemed-to-be University) Bengaluru, Karnataka, India

² 2Department of Mathematics, M.S. Ramaiah Institute of Technology, Bangalore-54, Affiliated to VTU, Belagavi, Karnataka, India

³ Department of Mathematics, Kuvempu University, Shankaraghatta- 577 451, Shimoga, Karnataka, India

Abstract

In this paper, we define and study quasi Hemi-slant submanifolds of Lorentzian almost contact metric manifolds. We mainly concern with quasi Hemi-slant submanifolds of LP-cosymplectic manifolds. First, we find conditions for integrability of distributions involved in the definition of quasi hemislant submanifolds of LP-cosymplectic manifolds. Further, we investigate the necessary and sufficient conditions for quasi Hemi-slant submanifolds of LP-cosymplectic manifolds to be totally geodesic and geometry of foliations are determined.