Preferred parameterisations on homogeneous curves

Michael Eastwood; Jan Slovák

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Displaying similar documents to “Preferred parameterisations on homogeneous curves”

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Projective reparametrization of homogeneous curves

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We study the conditions when locally homogeneous curves in homogeneous spaces admit a natural projective parameter. In particular, we prove that this is always the case for trajectories of homogeneous nilpotent elements in parabolic spaces. On algebraic level this corresponds to the generalization of Morozov–Jacobson theorem to graded semisimple Lie algebras.