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dc.contributor.author
Emmanuele, Daniela Beatriz  
dc.contributor.author
Salvai, Marcos Luis  
dc.date.available
2023-05-19T14:31:27Z  
dc.date.issued
2012-09  
dc.identifier.citation
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  
dc.identifier.issn
1312-5192  
dc.identifier.uri
http://hdl.handle.net/11336/198108  
dc.description.abstract
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.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Bulgarian Academy of Sciences, Institute of Mechanics  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
FORCE FREE MOTION  
dc.subject
NON-RIGID MOTION  
dc.subject
MOEBIUS TRANSFORMATION  
dc.subject
GEODESIC  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Force free Möbius motions of the circle  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2023-05-18T14:37:28Z  
dc.identifier.eissn
1314-5673  
dc.journal.volume
27  
dc.journal.number
9  
dc.journal.pagination
59-65  
dc.journal.pais
Bulgaria  
dc.journal.ciudad
Sofía  
dc.description.fil
Fil: Emmanuele, Daniela Beatriz. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina  
dc.description.fil
Fil: Salvai, Marcos Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina  
dc.journal.title
Journal of Geometry and Symmetry in Physics  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.bio21.bas.bg/jgsp/jgsp_files/vol27/Emmanuele.pdf  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.7546/jgsp-27-2012-59-65  

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