Semi-slant submanifolds of a Sasakian manifold

We define and study both bi-slant and semi-slant submanifolds of an almost contact metric manifold and, in particular, of a Sasakian manifold. We prove a characterization theorem for semi-slant submanifolds and we obtain integrability conditions for the distributions which are involved in the defini...

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Detalhes bibliográficos
Autores: Cabrerizo Jaraíz, José Luis, Carriazo Rubio, Alfonso, Fernández Fernández, Luis Manuel, Fernández Andrés, Manuel
Tipo de documento: artigo
Estado:Versión enviada para evaluación y publicación
Data de publicação:1999
País:España
Recursos:Universidad de Sevilla (US)
Repositório:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/47770
Acesso em linha:http://hdl.handle.net/11441/47770
https://doi.org/10.1023/A:1005241320631
Access Level:Acceso aberto
Palavra-chave:Sasakian manifold
Slant submanifold
Slant distribution
Bi-slant submanifold
Semi-slant submanifold
Descrição
Resumo:We define and study both bi-slant and semi-slant submanifolds of an almost contact metric manifold and, in particular, of a Sasakian manifold. We prove a characterization theorem for semi-slant submanifolds and we obtain integrability conditions for the distributions which are involved in the definition of such submanifolds. We also study an interesting particular class of semi-slant submanifolds.