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Classification of Isometric Immersions of the Hyperbolic Space H 2 into H 3

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Abstract

We transform the problem of determining isometric immersions from H 2(-1) into H 3(c) (c of solving an elliptic Monge--Ampère equation on the unit disc. Then we classify isometric immersions which possess bounded principal curvatures.

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Authors and Affiliations

  1. Department of Mathematics, Zhengzhou University, Zhengzhou, Henan, 450052, P.R. China

    Hu Ze-jun

  2. Department of Mathematics, Sichuan University, Chengdu, Sichuan, 610064, P.R. China

    Zhao Guo-song

Authors
  1. Hu Ze-jun
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  2. Zhao Guo-song
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Ze-jun, H., Guo-song, Z. Classification of Isometric Immersions of the Hyperbolic Space H 2 into H 3 . Geometriae Dedicata 65, 47–57 (1997). https://doi.org/10.1023/A:1004924703925

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