Artículo

Force free Möbius motions of the circle

Emmanuele, Daniela Beatriz; Salvai, Marcos LuisIcon
Fecha de publicación: 09/2012
Editorial: Bulgarian Academy of Sciences, Institute of Mechanics
Revista: Journal of Geometry and Symmetry in Physics
ISSN: 1312-5192
e-ISSN: 1314-5673
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

Let M be the Lie group of Möbius transformations of the circle. Suppose that the circle has initially a homogeneous distribution of mass and that the particles are allowed to move only in such a way that two configurations differ in an element of M. We describe all force free Möbius motions, that is, those curves in M which are critical points of the kinetic energy. The main tool is a Riemannian metric on M which turns out to be not complete (in particular not invariant, as happens with non-rigid motions) given by the kinetic energy.
Palabras clave: FORCE FREE MOTION , NON-RIGID MOTION , MOEBIUS TRANSFORMATION , GEODESIC
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/198108
URL: http://www.bio21.bas.bg/jgsp/jgsp_files/vol27/Emmanuele.pdf
DOI: http://dx.doi.org/10.7546/jgsp-27-2012-59-65
Colecciones
Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Citación
Emmanuele, Daniela Beatriz; Salvai, Marcos Luis; Force free Möbius motions of the circle; Bulgarian Academy of Sciences, Institute of Mechanics; Journal of Geometry and Symmetry in Physics; 27; 9; 9-2012; 59-65
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