Displaying similar documents to “Differential invariants of conformal and projective surfaces.”

Projective-type differential invariants and geometric curve evolutions of KdV-type in flat homogeneous manifolds

Gloria Marí Beffa (2008)

Annales de l’institut Fourier

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In this paper we describe moving frames and differential invariants for curves in two different | 1 | -graded parabolic manifolds G / H , G = O ( p + 1 , q + 1 ) and G = O ( 2 m , 2 m ) , and we define differential invariants of projective-type. We then show that, in the first case, there are geometric flows in G / H inducing equations of KdV-type in the projective-type differential invariants when proper initial conditions are chosen. We also show that geometric Poisson brackets in the space of differential invariants of curves in G / H can...

Contact geometry of curves.

Vassiliou, Peter J. (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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