Article
Equators Have at Most Countable Many Singularities with Bounded Total Angle
Annales Academiae Scientiarum Fennicae. Mathematica
Document Type
Article
Publication Date
1-1-2017
Subjects
- Boundary value problems
Disciplines
Abstract
For distinct points p and q in a two-dimensional Riemannian manifold, one defines their mediatrix Lpq as the set of equidistant points to p and q. It is known that mediatrices have a cell decomposition consisting of a finite number of branch points connected by Lipschitz curves. In the case of a topological sphere, mediatrices are called equators and it can benoticed that there are no branching points, thus an equator is a topological circle with possibly many Lipschitz singularities. This paper establishes that mediatrices have the radial …
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DOI
10.5186/aasfm.2017.4251
Persistent Identifier
https://archives.pdx.edu/ds/psu/30117
Citation Information
Herreros, P., Ponce, M., & Veerman, J. J. P. (2017, January). EQUATORS HAVE AT MOST COUNTABLE MANY SINGULARITIES WITH BOUNDED TOTAL ANGLE. In Annales Academiae Scientiarum Fennicae. Mathematica (Vol. 42, No. 2).
© 2017 by the authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).