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. Moreo...

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Detalles Bibliográficos
Autores: Akyol, Mehmet Akif, Fernández Fernández, Luis Manuel, Prieto Martín, Alicia
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2016
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/55166
Acceso en línea:http://hdl.handle.net/11441/55166
Access Level:acceso abierto
Palabra clave:S-manifold
Semi-symmetric metric connection
Semi-symmetric non-metric connection
L-sectional curvature
Scalar curvature
Descripción
Sumario: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.