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dc.contributor.author
Salvai, Marcos Luis  
dc.date.available
2023-01-30T16:07:46Z  
dc.date.issued
2017-03  
dc.identifier.citation
Salvai, Marcos Luis; Centro-affine invariants and the canonical Lorentz metric on the space of centered ellipses; Kinokuniya Co Ltd; Kodai Mathematical Journal; 40; 1; 3-2017; 21-30  
dc.identifier.issn
0386-5991  
dc.identifier.uri
http://hdl.handle.net/11336/186137  
dc.description.abstract
We consider smooth plane curves which are convex with respect to the origin. We describe centro-affine invariants (that is, GL+ (2; R)-invariants), such as centro-affine curvature and arc length, in terms of the canonical Lorentz structure on the three dimensional space of all the ellipses centered at zero, by means of null curves of osculating ellipses. This is the centro-affine analogue of the approach to conformal invariants of curves in the sphere introduced by Langevin and O’Hara, using the canonical pseudo Riemannian metric on the space of circles.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Kinokuniya Co Ltd  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
CENTRO-AFFINE  
dc.subject
LORENTZ METRIC  
dc.subject
NULL CURVE  
dc.subject
OSCULATING ELLIPSE  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Centro-affine invariants and the canonical Lorentz metric on the space of centered ellipses  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2023-01-27T16:04:54Z  
dc.journal.volume
40  
dc.journal.number
1  
dc.journal.pagination
21-30  
dc.journal.pais
Japón  
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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina  
dc.journal.title
Kodai Mathematical Journal  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://projecteuclid.org/journals/kodai-mathematical-journal/volume-40/issue-1/Centro-affine-invariants-and-the-canonical-Lorentz-metric-on-the/10.2996/kmj/1490083221.full  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.2996/kmj/1490083221  

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