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A Characterization for a (2, 0)-Geodesic Affine Immersion

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Abstract

We give a characterization for a (2, 0)-geodesic affine immersion to an affine space by using its index of relative nullity. Especially, we prove a cylinder theorem for such a hypersurface. We also show a cylinder theorem for a (2, 0)-geodesic isometric immersion from a Kähler manifold and anti-Kähler manifold as a corollary.

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  1. Department of Mathematics, Tokyo University of Science, 1-3 Kagurazaka, Shinjuku-ku, 162-8601, Tokyo, Japan

    Sanae Kurosu

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  1. Sanae Kurosu
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Correspondence to Sanae Kurosu.

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Kurosu, S. A Characterization for a (2, 0)-Geodesic Affine Immersion. Results. Math. 63, 115–128 (2013). https://doi.org/10.1007/s00025-011-0165-2

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  • DOI: https://doi.org/10.1007/s00025-011-0165-2

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