New ellipsoidal confocal coordinates and geodesics on an ellipsoid
type: Item
instance of: scholarly article
title: New ellipsoidal confocal coordinates and geodesics on an ellipsoid
zbMATH Open document ID: 0889.58062
DOI: 10.1007/BF02362647
author: O. Diekmann
published in: Journal of Mathematical Sciences (New York)
publication date: 1998-06-29T00:00:00Z
review text: The author computes the plane billard in an ellipse and the geodesic flow of an ellipsoid in \(\mathbb{R}^3\) in elliptical and ellipsoid confocal coordinates. It is suggested that similar coordinates in higher dimensions may be useful. The overall goal of the paper remains unclear.
Mathematics Subject Classification ID: 37D40
Mathematics Subject Classification ID: 53D25
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 1017613
zbMATH Keywords: elliptical coordinates
zbMATH Keywords: plane billiard
zbMATH Keywords: ellipse
zbMATH Keywords: geodesic flow
zbMATH Keywords: ellipsoid
zbMATH Keywords: ellipsoid confocal coordinates
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1017613