The Maslov form in non-invariant slant submanifolds of S-space-forms |
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Authors: | Joaquín Barrera Alfonso Carriazo Luis M Fernández Alicia Prieto-Martín |
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Institution: | 1. Departamento de Geometría y Topología, Facultad de Matemáticas, Universidad de Sevilla, Apartado de Correos 1160, 41080, Sevilla, Spain
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Abstract: | We present a characterization theorem for the Maslov form in certain non-invariant slant submanifolds of S-space-forms to be closed and, from it, we deduce a topological obstruction for these types of non-invariant slant immersions. Moreover, we also give conditions for an anti-invariant submanifolds of an S-manifold, tangent to the structure vector fields, to have closed and conformal Maslov form. |
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