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Isometric immersions of the hyperbolic plane into the hyperbolic space. (English) Zbl 0256.53042

MSC:
53C40 Global submanifolds
53A35 Non-Euclidean differential geometry
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References:
[1] Cartan, E.: Sur les variétés de courbure constante d’un espace euclidien ou non euclidien. Bull. Soc. Math. France47, 125-160, (1919);48, 132-208 (1920). · JFM 47.0692.03
[2] Hartman, P., Nirenberg, L.: On spherical image maps whose Jacobians do not change sign. Amer. J. Math.81, 901-920 (1959). · Zbl 0094.16303
[3] Kobayashi, S., Nomizu, K.: Foundations of differential geometry, Vol. I and II. New York: Wiley-Interscience 1963 and 1969. · Zbl 0119.37502
[4] Massey, W.: Surfaces of Gaussian curvature zero in Euclidean 3-space. Tohoku Math. J.14, 73-79 (1962). · Zbl 0114.36903
[5] O’Neill, B., Stiel, E.: Isometric immersions of constant curvature manifolds. Michigan Math. J.10, 335-339 (1963). · Zbl 0124.37402
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