On semiparallel anti-invariant submanifolds of generalized Sasakian space forms

ÖZGÜR, CİHAN; Gurler, Fatma; MURATHAN, CENGİZHAN

doi:10.3906/mat-1309-48

On semiparallel anti-invariant submanifolds of generalized Sasakian space forms

ÖZGÜR C., Gurler F., MURATHAN C.

TURKISH JOURNAL OF MATHEMATICS, cilt.38, sa.4, ss.796-802, 2014 (SCI-Expanded, Scopus, TRDizin)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 38 Sayı: 4
Basım Tarihi: 2014
Doi Numarası: 10.3906/mat-1309-48
Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.796-802
Anahtar Kelimeler: Semiparallel submanifold, generalized Sasakian space form, Laplacian of the second fundamental form, totally geodesic submanifold, SEMI-PARALLEL HYPERSURFACES, MANIFOLDS
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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