On semiparallel anti-invariant submanifolds of generalized Sasakian space forms

Cihan ÖZGÜR, Fatma GÜRLER, Cengizhan MURATHAN

Dergi: Turkish Journal of Mathematics
Sayı: 2014 · Cilt: 38 - Sayı: 4
Sayfa: 796–802
DOI: —

Özet

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

Abstract

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

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