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

Mircea Crasmareanu ()
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Mircea Crasmareanu: Faculty of Mathematics, University “Alexandru Ioan Cuza”, 700506 Iasi, Romania

Mathematics, 2023, vol. 11, issue 7, 1-9

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 S O ( 2 , 1 ) . This class depends on two real parameters as components of the cylinder S 1 × R and we use a deformation inspired by Finsler indicatrices in order to obtain proper ellipses. A complex approach is also included.

Keywords: conic; Cartan decomposition of SO (2,1); complex variable (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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