Characterizations for pseudoparalel submanifolds of Lorentz-Sasakian space forms

Tuğba Mert; Mehmet Atçeken

doi:10.26637/mjm1201/003

Abstract

In this article, total geodesic submanifolds for Lorentz-Sasakian space forms are investigated. For these submanifolds, pseudoparallel, 2-pseudoparallel, Ricci generalized pseudoparallel and 2-Ricci generalized pseudoparallel invariant submanifolds have been studied and many new results have been obtained. In addition, necessary and sufficient conditions have been obtained for these submanifolds to be total geodesic on the concircular and projective curvature tensors.

Keywords:

Lorentz-Sasakian Space Forms, Lorentzian Manifold, Total Geodesic Submanifold

Mathematics Subject Classification:

53C15, 53C44, 53D10

Authors Imprint References Funding Related Articles Downloads

Tuğba Mert Department of Mathematics, Faculty of Science, University of Sivas Cumhuriyet, 58140, Sivas, Turkey. https://orcid.org/0000-0001-8258-8298
Mehmet Atçeken Department of Mathematics, Faculty of Art and Science, University of Aksaray, 68100, Aksaray, Turkey.

Pages: 31-42
Date Published: 01-01-2024
Vol. 12 No. 01 (2024): Malaya Journal of Matematik (MJM)

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