Conformally Flat Minimal C-Totally Real Submanifolds of (k,μ)-Nullity Space Forms

Year 2020, Volume: 10 Issue: 2, 494 - 505, 30.12.2020

Ahmet Yıldız

https://doi.org/10.37094/adyujsci.743557

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

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