On semiparallel anti-invariant submanifolds of generalized Sasakian space forms

Authors: CİHAN ÖZGÜR, FATMA GÜRLER, CENGİZHAN MURATHAN

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

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

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