Minimal slant submanifolds of the smallest dimension in S-manifolds

We study slant submanifolds of S-manifolds with the smallest dimension, specially minimal submanifolds and establish some relations between them and anti-invariant submanifolds in S-manifolds, similar to those ones proved by B.-Y. Chen for slant surfaces and totally real surfaces in Kaehler manifold...

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Detalhes bibliográficos
Autores: Carriazo Rubio, Alfonso, Fernández Fernández, Luis Manuel, Hans Uber, María Belén
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2005
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/46914
Acesso em linha:http://hdl.handle.net/11441/46914
https://doi.org/10.4171/RMI/414
Access Level:acceso abierto
Palavra-chave:S-manifold
Slant submanifold
Minimal submanifold
Smallest dimension
Descrição
Resumo:We study slant submanifolds of S-manifolds with the smallest dimension, specially minimal submanifolds and establish some relations between them and anti-invariant submanifolds in S-manifolds, similar to those ones proved by B.-Y. Chen for slant surfaces and totally real surfaces in Kaehler manifolds.