Besov spaces on surfaces with singularities.
Alf Jonsson (1991)
Manuscripta mathematica
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Alf Jonsson (1991)
Manuscripta mathematica
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Jonathan M. Wahl (1976)
Inventiones mathematicae
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Alain Joets (2008)
Banach Center Publications
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When drawing regular surfaces, one creates a concrete and visual example of a projection between two spaces of dimension 2. The singularities of the projection define the apparent contour of the surface. As a result there are two types of generic singularities: fold and cusp (Whitney singularities). The case of singular surfaces is much more complex. A priori, it is expected that new singularities may appear, resulting from the "interaction" between the singularities of the surface and...
Iku Nakamura (1980)
Mathematische Annalen
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T. Urabe (1987)
Inventiones mathematicae
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Raimund Blache (1994)
Mathematische Zeitschrift
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Yujiro Kawamata (1980)
Mathematische Annalen
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T. Urabe (1990)
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Peter ORLIK, Philip WAGREICH (1971)
Mathematische Annalen
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Thomas Gawlick (1992)
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Ulf Persson (1982)
Mathematische Annalen
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J. Eggers, J. Hoppe, M. Hynek, N. Suramlishvili (2015)
Geometric Flows
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Pointing out a crucial relation with caustics of the eikonal equation we discuss the singularity formation of 2-dimensional surfaces that sweep out 3-manifolds of zero mean curvature in R3,1.
Kentaro Saji, Handan Yıldırım (2015)
Annales Polonici Mathematici
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We consider surfaces in hyperbolic 3-space and their duals. We study flat dual surfaces in hyperbolic 3-space by using extended Legendrian dualities between pseudo-hyperspheres in Lorentz-Minkowski 4-space. We define the flatness of a surface in hyperbolic 3-space by the degeneracy of its dual, which is similar to the case of the Gauss map of a surface in Euclidean 3-space. Such surfaces are a kind of ruled surfaces. Moreover, we investigate the singularities of these surfaces and the...
L. Simon, R. Hardt, L. Caffarelli (1984)
Manuscripta mathematica
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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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