CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Invariantes centro-afines y la métrica de Lorentz canónica en el espacio de las elipses centradas
Autor/es:
MARCOS SALVAI
Lugar:
La Plata
Reunión:
Congreso; LXVIII Reunión de la Unión Matemática Argentina; 2018
Institución organizadora:
Unión Matemática Argentina
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-ane 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.
