Artículo
Centro-affine invariants and the canonical Lorentz metric on the space of centered ellipses
Fecha de publicación:
03/2017
Editorial:
Kinokuniya Co Ltd
Revista:
Kodai Mathematical Journal
ISSN:
0386-5991
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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.
Palabras clave:
CENTRO-AFFINE
,
LORENTZ METRIC
,
NULL CURVE
,
OSCULATING ELLIPSE
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Colecciones
Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Citación
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
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