Abstract
We consider the cutting process of the generalized Möbius–Listing surface along some closed line which is parallel to its border line. We show connections of the resulting mathematical objects with the set of knots and links. In some cases we count the indices of the corresponding objects according to the known classification.
Received: 2009-07-10
Published Online: 2011-05-02
Published in Print: 2011-June
© de Gruyter 2011
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Keywords for this article
Möbius strip;
mean curvature;
hyperbolic point;
knots;
link-2
Articles in the same Issue
- Polynomial approximation of functions in weighted Lebesgue and Smirnov spaces with nonstandard growth
- On the logarithmic summability of Fourier series
- On a relationship between absolutely nonmeasurable functions and Sierpiński–Zygmund functions
- Boundedness of weighted singular integral operators in grand Lebesgue spaces
- A generalization of the Euler beta function and applications
- Normality and shared values concerning differential polynomial
- Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph
- About some geometric characteristics of the generalized Möbius–Listing surfaces
- Variation formulas of solution for a delay differential equation taking into account delay perturbation and the continuous initial condition
- An admissibility for topological degree of variable Besov and Triebel–Lizorkin spaces
- Boundedness of linear operators via atoms on Hardy spaces with non-doubling measures