Theorems on the Existence of Separating Surfaces.
M.E. Houle (1991)
Discrete & computational geometry
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M.E. Houle (1991)
Discrete & computational geometry
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K. Kedem, M. Sharir, D.P. Huttenlocher (1993)
Discrete & computational geometry
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Georges Dloussky (2014)
Complex Manifolds
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For any minimal compact complex surface S with n = b2(S) > 0 containing global spherical shells (GSS) we study the effectiveness of the 2n parameters given by the n blown up points. There exists a family of surfaces S → B with GSS which contains as fibers S, some Inoue-Hirzebruch surface and non minimal surfaces, such that blown up points are generically effective parameters. These families are versal outside a non empty hypersurface T ⊂ B. We deduce that, for any configuration of...
Manhart, Friedrich (2009)
Beiträge zur Algebra und Geometrie
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Georgi Ganchev, Vesselka Mihova (2013)
Open Mathematics
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On any space-like Weingarten surface in the three-dimensional Minkowski space we introduce locally natural principal parameters and prove that such a surface is determined uniquely up to motion by a special invariant function, which satisfies a natural non-linear partial differential equation. This result can be interpreted as a solution to the Lund-Regge reduction problem for space-like Weingarten surfaces in Minkowski space. We apply this theory to linear fractional space-like Weingarten...
Dziuk, Gerhard, Hutchinson, John E.
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K. Leschke, K. Moriya (2016)
Complex Manifolds
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In this paper we give a survey of methods of Quaternionic Holomorphic Geometry and of applications of the theory to minimal surfaces. We discuss recent developments in minimal surface theory using integrable systems. In particular, we give the Lopez–Ros deformation and the simple factor dressing in terms of the Gauss map and the Hopf differential of the minimal surface. We illustrate the results for well–known examples of minimal surfaces, namely the Riemann minimal surfaces and the...
Reinhold Böhme (1981-1982)
Séminaire Bourbaki
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Udo Simon, Konrad Voss, Luc Vrancken, Martin Wiehe (2002)
Banach Center Publications
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We investigate pairs of surfaces in Euclidean 3-space with the same Weingarten operator in case that one surface is given as surface of revolution. Our local and global results complement global results on ovaloids of revolution from S-V-W-W.
Rossman, Wayne (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Izidor Hafner, Tomislav Zitko (2003)
Visual Mathematics
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Wilczyński, Władysław, Rzepecka, Genowefa (2015-11-26T16:01:41Z)
Acta Universitatis Lodziensis. Folia Mathematica
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H. Karcher (1988)
Manuscripta mathematica
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