On semiparallel anti-invariant submanifolds of generalized Sasakian space forms

Authors : Cihan Özgür, Fatma Gürler, Cengizhan Murathan

Pages : 796-802

Doi:10.3906/mat-1309-48

View : 19 | Download : 13

Publication Date : 9999-12-31

Article Type : Makaleler

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