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On isometric immersions with flat normal connection of the hyperbolic space L n into Euclidean space E n+m

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Abstract

We prove that the hyperbolic space L n cannot be immersed in an Euclidean space E n+m with a flat normal connection provided the module of the mean curvature vector is bounded.

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Authors and Affiliations

  1. Verkin Institute of Low Temperatures, Ukraine

    D. V. Bolotov

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  1. D. V. Bolotov
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Correspondence to D. V. Bolotov.

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Bolotov, D.V. On isometric immersions with flat normal connection of the hyperbolic space L n into Euclidean space E n+m . Math Notes 82, 10–12 (2007). https://doi.org/10.1134/S0001434607070024

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  • DOI: https://doi.org/10.1134/S0001434607070024

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