On semiparallel anti-invariant submanifolds of generalized Sasakian space forms

Özgür, Cihan; Gürler, Fatma; MURATHAN, CENGİZHAN

doi:10.3906/mat-1309-48

On semiparallel anti-invariant submanifolds of generalized Sasakian space forms

Özgür C., Gürler 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: Generalized sasakian space form, Laplacian of the second fundamental form, Semiparallel submanifold, Totally geodesic submanifold
Yıldız Teknik Üniversitesi Adresli: Hayır

Özet

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