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Isometric Lagrangian immersion of horocycles of the hyperbolic plane in complex space

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Abstract

We prove that there exists an isometric Lagrangian immersion of a horocycle of the hyperbolic plane in the complex space ℂ2, and there exists an isometric Lagrangian immersion of a horoball of hyperbolic (Lobachevski) space H 3 in the complex space ℂ3.

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Authors and Affiliations

  1. Kharkov National University, Kharkov, Ukraine

    L. A. Masal’tsev

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  1. L. A. Masal’tsev
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Correspondence to L. A. Masal’tsev.

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Original Russian Text © L. A. Masal’tsev, 2008, published in Matematicheskie Zametki, 2008, Vol. 84, No. 4, pp. 577–582.

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Masal’tsev, L.A. Isometric Lagrangian immersion of horocycles of the hyperbolic plane in complex space. Math Notes 84, 538–543 (2008). https://doi.org/10.1134/S0001434608090253

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