The L-sectional curvature of S-manifolds
The L-sectional curvature of S-manifolds
We investigate L-sectional curvature of S-manifolds with respect to the Riemannian connection and to certain semi-symmetric metric and nonmetric connections naturally related with the structure, obtaining conditions for them to be constant and giving examples of S-manifolds in such conditions. Moreover, we calculate the scalar curvature in all the cases.
Ministerio de Economía y Competitividad
- University of Seville Spain
Mathematics - Differential Geometry, Scalar curvature, Mühendislik, L-sectional curvature, S-manifold, Semi-symmetric metric connection, 53C05, 53C15, Engineering, Differential Geometry (math.DG), Semi-symmetric non-metric connection, FOS: Mathematics, S-manifold;Semi-Symmetric Metric Connection;Semi-Symmetric non-Metric Connection;L-Sectional Curvature;Scalar Curvature
Mathematics - Differential Geometry, Scalar curvature, Mühendislik, L-sectional curvature, S-manifold, Semi-symmetric metric connection, 53C05, 53C15, Engineering, Differential Geometry (math.DG), Semi-symmetric non-metric connection, FOS: Mathematics, S-manifold;Semi-Symmetric Metric Connection;Semi-Symmetric non-Metric Connection;L-Sectional Curvature;Scalar Curvature
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