Second order differential invariants of linear frames.

Brajerčík, Ján

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

Gloria Marí Beffa (2008)

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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...