Riemannian submersions and slant submanifolds

We study the relationship between slant submanifolds in both Complex and Contact Geometry through Riemannian submersions. We present some construction procedures to obtain slant submanifolds in the unit sphere and in a Stiefel manifold. We also generalize them by means of the Boothby-Wang fibration....

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Detalles Bibliográficos
Autores: Cabrerizo Jaraíz, José Luis, Carriazo Rubio, Alfonso, Fernández Fernández, Luis Manuel, Fernández Andrés, Manuel
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2002
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/48906
Acceso en línea:http://hdl.handle.net/11441/48906
Access Level:acceso abierto
Palabra clave:Riemannian submersion
Kaehlerian manifold
Sasakian manifold
Slant submanifold
Descripción
Sumario:We study the relationship between slant submanifolds in both Complex and Contact Geometry through Riemannian submersions. We present some construction procedures to obtain slant submanifolds in the unit sphere and in a Stiefel manifold. We also generalize them by means of the Boothby-Wang fibration. Finally, we show some characterization theorems of three-dimensional slant submanifolds.