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

Yıl 2020, Cilt: 10 Sayı: 2, 494 - 505, 30.12.2020

Ahmet Yıldız

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

Öz

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.

Anahtar Kelimeler

Contact metric manifold , conformally ‡at manifold , (k;)-manifold , (k;)-space forms , second fundamental form , totally geodesic

Kaynakça

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