Metric ellipses in Minkowski planes.

Senlin, Wu, Donghai, Ji, and Alonso, Javier. "Metric ellipses in Minkowski planes.." Extracta Mathematicae 20.3 (2005): 273-280. <http://eudml.org/doc/41842>.

@article{Senlin2005,
abstract = {An ellipse in R2 can be defined as the locus of points for which the sum of the Euclidean distances from the two foci is constant. In this paper we will look at the sets that are obtained by considering in the above definition distances induced by arbitrary norms.},
author = {Senlin, Wu, Donghai, Ji, Alonso, Javier},
journal = {Extracta Mathematicae},
keywords = {Espacios de Minkowski; Espacios normados; Elipse; Convexidad; ellipse; normed plane; strict convexity; modulus of smoothness; inner product space},
language = {eng},
number = {3},
pages = {273-280},
title = {Metric ellipses in Minkowski planes.},
url = {http://eudml.org/doc/41842},
volume = {20},
year = {2005},
}

TY - JOUR
AU - Senlin, Wu
AU - Donghai, Ji
AU - Alonso, Javier
TI - Metric ellipses in Minkowski planes.
JO - Extracta Mathematicae
PY - 2005
VL - 20
IS - 3
SP - 273
EP - 280
AB - An ellipse in R2 can be defined as the locus of points for which the sum of the Euclidean distances from the two foci is constant. In this paper we will look at the sets that are obtained by considering in the above definition distances induced by arbitrary norms.
LA - eng
KW - Espacios de Minkowski; Espacios normados; Elipse; Convexidad; ellipse; normed plane; strict convexity; modulus of smoothness; inner product space
UR - http://eudml.org/doc/41842
ER -