Generalized S-space-forms with two structure vector fields

We introduce and study generalized S-space-forms with two structure vector fields. We also present several examples of these manifolds such as certain hypersurfaces of Sasakianspace-forms, principal toroidal bundles and warped products. Moreover, we investigate generalized S-space-forms endowed with...

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Detalles Bibliográficos
Autores: Carriazo Rubio, Alfonso, Fernández Fernández, Luis Manuel, Fuentes Pino, Ana María
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2010
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/46937
Acceso en línea:http://hdl.handle.net/11441/46937
https://doi.org/10.1515/advgeom.2009.031
Access Level:acceso abierto
Palabra clave:Metric f-manifold
F-contact manifold
F-K-contact manifold
S-manifold
Generalized S-space-form
Descripción
Sumario:We introduce and study generalized S-space-forms with two structure vector fields. We also present several examples of these manifolds such as certain hypersurfaces of Sasakianspace-forms, principal toroidal bundles and warped products. Moreover, we investigate generalized S-space-forms endowed with an additional structure and we obtain some obstructions for them to be S-manifolds.