Some results on the geometry of warped product CR-submanifolds in quasi-Sasakian manifold

Shamsur Rahman

doi:10.4067/S0719-06462022000100105

DOI:

https://doi.org/10.4067/S0719-06462022000100105

Abstract

The present paper deals with a study of warped product submanifolds of quasi-Sasakian manifolds and warped product CR-submanifolds of quasi-Sasakian manifolds. We have shown that the warped product of the type \( M = D_{\perp}{\times}{_{y}}{D}_{T}\) does not exist, where \( D_{\perp}\) and \( D_{T}\) are invariant and anti-invariant submanifolds of a quasi-Sasakian manifold \(\bar{M}\), respectively. Moreover we have obtained characterization results for CR-submanifolds to be locally CR-warped products.

Keywords

Warped product , CR-submanifolds , quasi Sasakian manifold , canonical structure

Shamsur Rahman Department of Mathematics, Maulana Azad National Urdu University, Polytechnic Satellite Campus Darbhanga Bihar- 846002, India.

Pages: 105–114
Date Published: 2022-04-04
Vol. 24 No. 1 (2022)

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