Author:
Alegre Pablo,Barrera Joaquín,Carriazo Alfonso
Abstract
The Maslov form is a closed form for a Lagrangian submanifold of C m , 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.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference14 articles.
1. Une caractérisation géométrique de la sphère de Whitney;Borrelli;C. R. Acad. Sci. Paris,1995
2. Lagrangian submanifolds of Cn with conformal Maslov form and the Whitney sphere
3. The contact Whitney sphere;Blair;Note Mat.,2000
4. A new class of slant submanifolds in generalized Sasakian space forms;Alegre;Appear Med. J. Math.,2020
5. Geometry of Slant Submanifolds;Chen,1990
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