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 : 30 | Download : 9

Publication Date : 2020-12-30

Article Type : Research Paper

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