THE L-SECTIONAL CURVATURE OF S-MANIFOLDS

Year 2016, Volume: 4 Issue: 1, 246 - 253, 01.04.2016

Mehmet Akif Akyol Luis M. Fernandez, , Alicia Prıeto-martın

Abstract

We investigate L-sectional curvature of S-manifolds with respect to the Riemannian connection and to certain semi-symmetric metric and non- metric 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.

Keywords

S-manifold, Semi-Symmetric Metric Connection, Semi-Symmetric non-Metric Connection, L-Sectional Curvature, Scalar Curvature

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