Conics from the Cartan Decomposition of SO(2,1)

Author:

Crasmareanu Mircea1ORCID

Affiliation:

1. Faculty of Mathematics, University “Alexandru Ioan Cuza”, 700506 Iasi, Romania

Abstract

The aim of this paper is to introduce and study the class of conics provided by the symmetric matrices of the Cartan decomposition of the Lie group SO(2,1). This class depends on two real parameters as components of the cylinder S1×R and we use a deformation inspired by Finsler indicatrices in order to obtain proper ellipses. A complex approach is also included.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference11 articles.

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