Induced structures on slant submanifolds of metric F-manifolds

We study whether it is possible to obtain an induced structure on a slant submanifold of a metric f-manifold. Moreover, we give conditions for any isometric immersion between two metric fmanifolds to be slant and we prove a characterization theorem when the submanifold has the smallest possible dime...

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Detalles Bibliográficos
Autores: Fernández Fernández, Luis Manuel, Hans Uber, María Belén
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2008
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/50515
Acceso en línea:http://hdl.handle.net/11441/50515
Access Level:acceso abierto
Palabra clave:Slant immersion
Metric f-structure
Metric f-contact manifolds
S-manifolds
Descripción
Sumario:We study whether it is possible to obtain an induced structure on a slant submanifold of a metric f-manifold. Moreover, we give conditions for any isometric immersion between two metric fmanifolds to be slant and we prove a characterization theorem when the submanifold has the smallest possible dimension to be proper slant.