Classification of isometric immersions of the hyperbolic space \(H^ 2\) into \(H^ 3\)

DOI10.1023/A:1004924703925zbMath0870.53045MaRDI QIDQ678576

Guo-Song Zhao, Ze-Jun Hu

Publication date: 14 July 1997

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

Monge-Ampère equationisometric immersion of hyperbolic space forms

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

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Isometric immersions from the hyperbolic space $H^2(-1)$ into $H^3(-1)$