Abstract

We consider minimal anti-invariant semiparallel submanifolds of generalized Sasakian space forms. We show that the submanifolds are totally geodesic under certain conditions.

DOI

10.3906/mat-1309-48

Keywords

Semiparallel submanifold, generalized Sasakian space form, Laplacian of the second fundamental form, totally geodesic submanifold

First Page

796

Last Page

802

Recommended Citation

ÖZGÜR, C, GÜRLER, F, & MURATHAN, C (2014). On semiparallel anti-invariant submanifolds of generalized Sasakian space forms. Turkish Journal of Mathematics 38 (4): 796-802. https://doi.org/10.3906/mat-1309-48

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