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Semi-Slant Submanifolds of a Sasakian Manifold

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Abstract

We define and study both bi-slant and semi-slant submanifolds of an almost contact metric manifold and, in particular, of a Sasakian manifold. We prove a characterization theorem for semi-slant submanifolds and we obtain integrability conditions for the distributions which are involved in the definition of such submanifolds. We also study an interesting particular class of semi-slant submanifolds.

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Authors and Affiliations

  1. Departamento de Geometría y Topología, Facultad de Matemáticas, Universidad de Sevilla, Apartado de Correos 1160, 41080-, Sevilla, Spain

    J.L. Cabrerizo, A. Carriazo, L.M. Fernández & M. Fernández

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  1. J.L. Cabrerizo
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  2. A. Carriazo
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  3. L.M. Fernández
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  4. M. Fernández
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Cabrerizo, J., Carriazo, A., Fernández, L. et al. Semi-Slant Submanifolds of a Sasakian Manifold. Geometriae Dedicata 78, 183–199 (1999). https://doi.org/10.1023/A:1005241320631

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  • DOI: https://doi.org/10.1023/A:1005241320631

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