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On semiparallel anti-invariant submanifolds of generalized Sasakian space forms

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Murathan, Cengizhan

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Özgür, Cihan
Gürler, Fatma

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Scientific and Technological Research Council Turkey

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Abstract

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

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Generalized sasakian space form, Totally geodesic submanifold, Laplacian of the second fundamental form, Semiparallel submanifold, Semi-parallel hypersurfaces, Manifolds

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Murathan, C. vd. (2014). "On semiparallel anti-invariant submanifolds of generalized Sasakian space forms". Turkish Journal of Mathematics, 38(4), 796-802.

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