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arxiv: 1302.1973 · v3 · pith:5V2RT53Gnew · submitted 2013-02-08 · 🧮 math.DG

The L-sectional curvature of S-manifolds

classification 🧮 math.DG
keywords curvatures-manifoldsconditionsl-sectionalcalculatecasescertainconnection
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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.

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