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Carpets on simple 4-contours on the hyperbolic plane of positive curvature
Published/Copyright:
July 23, 2014
Abstract
Properties of simple 4-contours on the hyperbolic plane of positive curvature are described (in particular, the main theorem on partition of a simple 4-contour by its dissectrises is obtained). New objects (simple carpets and carpets) are introduced. It is shown that the process of dissectorial partition of a simple 4-contour may be described in terms of a weighted oriented binary tree Γ. The weights within one level of the tree Γ are shown to be strictly ordered and a method of comparing weights of vertices of Γ is obtained. Examples of carpets on simple 4-contours are provided
Keywords : hyperbolic plane of positive curvature; simple 4-contour; dissectorial partition; carpet on simple 4-contour; simple carpet on simple 4-contour.
Published Online: 2014-7-23
Published in Print: 2014-4-1
© 2014 by Walter de Gruyter Berlin/Boston
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Keywords for this article
hyperbolic plane of positive curvature;
simple 4-contour;
dissectorial partition;
carpet on simple 4-contour;
simple carpet on simple 4-contour.
Articles in the same Issue
- Masthead
- On the existence and the number of stationary points of discrete logarithm to a base other than a primitive root
- Limit theorems for the generalized size of epidemic in a Markov model with immunization
- A biological problem and generalized allocation scheme
- On the distance from permutations to imprimitive groups for a fixed system of imprimitivity
- Carpets on simple 4-contours on the hyperbolic plane of positive curvature
