Annales Academiae Scientiarum Fennicae. Mathematica
Boundary value problems
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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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).
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