- Adıyaman Üniversitesi Fen Bilimleri Dergisi
- Vol: 10 Issue: 2
- Conformally Flat Minimal C-Totally Real Submanifolds of (k,μ)-Nullity Space Forms
Conformally Flat Minimal C-Totally Real Submanifolds of (k,μ)-Nullity Space Forms
Authors : Ahmet Yildiz
Pages : 494-505
Doi:10.37094/adyujsci.743557
View : 29 | Download : 12
Publication Date : 2020-12-30
Article Type : Research
Abstract :Using the expression for the Laplacian of the square of the lenght of the second fundamental form of conformally ‡at minimal C-totally real submanifolds of a(k;)-nullity space form pinchings for scalar curvature and sectional curvature are obtained which imply that the submanifolds must be totally geodesic.Keywords : Contact metric manifold, conformally ‡at manifold, (k, )-manifold, (k, )-space forms, second fundamental form, totally geodesic