Authors: Tobías de Jesús Rosas Soto
Mediante el estudio de ciertas propiedades geométricas de los sistemas C-ortocéntricos, relacionadas co las nociones de ortogonalidad (Birkhoff, isósceles, cordal), bisectriz (Busemann, Glogovskij) y línea soporte a una circunferencia, se muestran nueve caracterizaciones de euclidianidad para planos de Minkowski arbitrarios. Tres de estas generalizan caracterizaciones dadas para planos de Minkowski estrictamente convexos en [8, 9], y las otras seis son nuevos aportes sobre el tema. -- By studying certain geometric properties of C-orthocentric systems related to the notions of orthogonality (Birkhoff, isosceles, chordal), angular bisectors (Busemann, Glogovskij) and support line to a circumference, shows nine characterizations of the Euclidean plane for arbitrary Minkowski planes. Three of these generalized characterizations given for strictly convex Minkowski planes in [8, 9], and the other six are new contributions on subject.
Comments: 17 Pages. Artículo en español, con 4 figuras presentadas de a pares. Título y resumen en español e ingles.
Download: PDF
[v1] 2014-08-22 00:31:22
Unique-IP document downloads: 80 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.