Principal Lines on an Ellipsoid in a Minkowski Three-Dimensional Space

Author:

Garcia Ronaldo1ORCID,Tejada Dimas2ORCID

Affiliation:

1. Instituto de Matemática e Estatística, Universidade Federal de Goiás

2. Facultad de Ciencias Naturales y Matemática, Universidad de El Salvador

Abstract

The description of principal lines of the ellipsoid on the 3-dimensional Minkowski space is established. A global principal parametrization of a triple orthogonal system of quadrics is also achieved, and the focal set of the ellipsoid is sketched.

Publisher

Croatian Society for Geometry and Graphics

Subject

Marketing,Organizational Behavior and Human Resource Management,Strategy and Management,Drug Discovery,Pharmaceutical Science,Pharmacology

Reference21 articles.

1. Sotomayor, J., El elipsoide de Monge y las líneas de curvatura, Materials Matemátics 1 (2007), 1-25.

2. Sotomayor, J., O elipsóide de Monge, Revista Matemática Universitária 15 (1993), 33-47.

3. Sotomayor, J., Garcia, R., Historical comments on Monge's ellipsoid and the confgurations of lines of curvature on surfaces, Antiquitates Mathematicae 10 (2016), 169-182, https://doi.org/10.14708/am.v10i0.1918

4. Tari, F., Caustics of surfaces in the Minkowski 3-space, Q. J. Math. 63(1) (2012), 189-209, https://doi.org/10.1093/qmath/haq030

5. Sotomayor, J., Gutierrez, C., Structurally stable configurations of lines of principal curvature, in Bifurcation, ergodic theory and applications 1981, Astérisque 98-99, 195-215.

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