Minimal Discrepancies of Toric Singularities.
Alexandr Borisov (1997)
Manuscripta mathematica
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Displaying similar documents to “Minimal Surfaces with Isolated Singularities.”
Minimal Discrepancies of Toric Singularities.
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We describe the structure of minimal round functions on compact closed surfaces and three-dimensional manifolds. The minimal possible number of critical loops is determined and typical non-equisingular round function germs are interpreted in the spirit of isolated line singularities. We also discuss a version of Lusternik-Schnirelmann theory suitable for round functions.
The uniqueness for minimal surfaces in S3.
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Boundary Configuartions Spanning Contiuna of Minimal Surfaces.
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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...