Displaying similar documents to “Propagation of weak singularities on characteristic surfaces of non-constant multiplicity”

Singularities in drawings of singular surfaces

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...

Singularities of relativistic membranes

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.

Legendrian dual surfaces in hyperbolic 3-space

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...

Mazes on surfaces

Izidor Hafner, Tomislav Zitko (2003)

Visual Mathematics

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Two remarks about surfaces

Wilczyński, Władysław, Rzepecka, Genowefa (2015-11-26T16:01:41Z)

Acta Universitatis Lodziensis. Folia Mathematica

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