Existence an regularity of constant mean curvature hypersurfaces in hyperbolic space.
Yoshihiro Tonegawa (1996)
Mathematische Zeitschrift
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Yoshihiro Tonegawa (1996)
Mathematische Zeitschrift
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Jürgen Berndt (1989)
Journal für die reine und angewandte Mathematik
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E. Rips, Z. Sela (1995)
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M. HIRSCH, J. PALIS, C. PUGH, M. SHUB (1969/70)
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Michał Kisielewicz (1975)
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Avalishvili, G., Gordeziani, D. (1999)
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Pierre Dolbeault (2012)
Annales Polonici Mathematici
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Let S ⊂ ℂⁿ, n ≥ 3, be a compact connected 2-codimensional submanifold having the following property: there exists a Levi-flat hypersurface whose boundary is S, possibly as a current. Our goal is to get examples of such S containing at least one special 1-hyperbolic point: a sphere with two horns, elementary models and their gluings. Some particular cases of S being a graph are also described.
Junjiro Noguchi, Kazuo Masuda (1996)
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We prove that the boundary of a right-angled hyperbolic building is a universal Menger space. As a consequence, the 3-dimensional universal Menger space is the boundary of some Gromov-hyperbolic group.