On slant submanifolds of neutral Kaehler manifolds

An indefinite Riemannian manifold is called neutral it its index is equal to one half of its dimension and an indefinite Kaehler manifold is called neutral Kaehler if its complex index is equal to the half of its complex dimension. In the first part of this article, we extend the notion of slant sur...

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Detalhes bibliográficos
Autores: Arslan, Kadri, Carriazo Rubio, Alfonso, Chen, Bang-Yen, Murathan, Cengizhan
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2010
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/47143
Acesso em linha:http://hdl.handle.net/11441/47143
Access Level:acceso abierto
Palavra-chave:Slant submanifold
Neutral Kaehler manifold
Neutral complex space form
Minimal surface
Lorentzian complex plane
Descrição
Resumo:An indefinite Riemannian manifold is called neutral it its index is equal to one half of its dimension and an indefinite Kaehler manifold is called neutral Kaehler if its complex index is equal to the half of its complex dimension. In the first part of this article, we extend the notion of slant surfaces in Lorentzian Kaehler surfaces to slant submanifolds in neutral Kaehler manifolds; moreover, we characterize slant submanifolds with parallel canonical structures. By applying the results obtained in the first part we completely classify slant surfaces with parallel mean curvature vector and minimal slant surfaces in the Lorentzian complex plane in the second part of this article.