Artículo
A closed form for slant submanifolds of generalized Sasakian space forms
Autor/es | Alegre Rueda, Pablo Sebastián
Barrera López, Joaquín Carriazo Rubio, Alfonso |
Departamento | Universidad de Sevilla. Departamento de Geometría y Topología |
Fecha de publicación | 2019-12-13 |
Fecha de depósito | 2020-06-12 |
Publicado en |
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Resumen | The Maslov form is a closed form for a Lagrangian submanifold of Cm, and it is a conformal
form if and only if M satisfies the equality case of a natural inequality between the norm of the
mean curvature and the scalar ... The Maslov form is a closed form for a Lagrangian submanifold of Cm, and it is a conformal form if and only if M satisfies the equality case of a natural inequality between the norm of the mean curvature and the scalar curvature, and it happens if and only if the second fundamental form satisfies a certain relation. In a previous paper we presented a natural inequality between the norm of the mean curvature and the scalar curvature of slant submanifolds of generalized Sasakian space forms, characterizing the equality case by certain expression of the second fundamental form. In this paper, first, we present an adapted form for slant submanifolds of a generalized Sasakian space form, similar to the Maslov form, that is always closed. And, in the equality case, we studied under which circumstances the given closed form is also conformal. |
Identificador del proyecto | FQM-327
MTM2011-22621 |
Cita | Alegre Rueda, P.S., Barrera López, J. y Carriazo Rubio, A. (2019). A closed form for slant submanifolds of generalized Sasakian space forms. Mathematics, 7 (1238), 1-15. |
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