A study on pseudoparallel submanifolds of generalized Lorentz-Sasakian space forms

Shashikant Pandey, Tugba Mert, Mehmet Atceken, Pakize Uygun

Abstract


In this article, pseudoparallel submanifolds for generalized
Lorentz-Sasakian space forms are investigated. Submanifolds of these
manifolds with properties such as pseudoparallel, 2-pseudoparallel,
Ricci generalized pseudoparallel, and 2-Ricci generalized
pseudoparallel have been investigated and the conditions under which
these pseudoparallel submanifolds are totally geodesic are shown. In
addition, necessary and sufficient conditions have been obtained for
these submanifolds to be totally geodesic by means of the
concircular, projective and quasi-conformally curvature tensors. At
last, we provide an example for such manifolds.


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