English

The L-sectional curvature of S-manifolds

Differential Geometry 2013-04-23 v3

Abstract

We investigate L-sectional curvature of S-manifolds with respect to the Rieman- nian 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

Cite

@article{arxiv.1302.1973,
  title  = {The L-sectional curvature of S-manifolds},
  author = {Mehmet Akif Akyol and Luis M. FernÁndez and Alicia Prieto-MartÍn},
  journal= {arXiv preprint arXiv:1302.1973},
  year   = {2013}
}