An embedding of C in C² with hyperbolic complement.
J.E. Fornaess, G.T. Buzzard (1996)
Mathematische Annalen
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J.E. Fornaess, G.T. Buzzard (1996)
Mathematische Annalen
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S. Bell (1988)
Mathematische Annalen
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Steven G. Krantz, Robert E. Greene (1982)
Mathematische Annalen
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Yoichi Imayoshi (1985)
Mathematische Annalen
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A. Bove, J.E. Lewis, C. Parenti (1985/86)
Mathematische Annalen
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Ruth Kellerhals (1989)
Mathematische Annalen
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M. Mason (1908)
Mathematische Annalen
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Apostolova, Lilia N. (2012)
Mathematica Balkanica New Series
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MSC 2010: 30C10, 32A30, 30G35 The algebra R(1; j; j2; j3), j4 = ¡1 of the fourth-R numbers, or in other words the algebra of the double-complex numbers C(1; j) and the corresponding functions, were studied in the papers of S. Dimiev and al. (see [1], [2], [3], [4]). The hyperbolic fourth-R numbers form other similar to C(1; j) algebra with zero divisors. In this note the square roots of hyperbolic fourth-R numbers and hyperbolic complex numbers are found. The quadratic equation...
Pierre-Emmanuel Caprace, Yves de Cornulier, Nicolas Monod, Romain Tessera (2015)
Journal of the European Mathematical Society
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We give a complete characterization of the locally compact groups that are non elementary Gromov-hyperbolic and amenable. They coincide with the class of mapping tori of discrete or continuous one-parameter groups of compacting automorphisms. We moreover give a description of all Gromov-hyperbolic locally compact groups with a cocompact amenable subgroup: modulo a compact normal subgroup, these turn out to be either rank one simple Lie groups, or automorphism groups of semiregular trees...
Walter D. Neumann, Alan W. Reid (1993)
Mathematische Annalen
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Do Duc Thai (1991)
Annales Polonici Mathematici
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Abstract. The characterization of hyperbolic embeddability of relatively compact subspaces of a complex space in terms of extension of holomorphic maps from the punctured disc and of limit complex lines is given.
Hajime Tsuji (1981)
Mathematische Annalen
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Wing-Keung To (1993)
Mathematische Annalen
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P. Papasoglu (1995)
Inventiones mathematicae
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