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Displaying similar documents to “An elementary proof of a Lima's theorem for surfaces.”

Orbit Structure of certain 2 -actions on solid torus

C. Maquera, L. F. Martins (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

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In this paper we describe the orbit structure of   C 2 -actions of   2   on the solid torus   S 1 × D 2   having   S 1 × { 0 }   and   S 1 × D 2   as the only compact orbits, and   S 1 × { 0 }   as singular set.

On spherical nilpotent orbits and beyond

Dmitri I. Panyushev (1999)

Annales de l'institut Fourier

Similarity:

We continue investigations that are concerned with the complexity of nilpotent orbits in semisimple Lie algebras. We give a characterization of the spherical nilpotent orbits in terms of minimal Levi subalgebras intersecting them. This provides a kind of canonical form for such orbits. A description minimal non-spherical orbits in all simple Lie algebras is obtained. The theory developed for the adjoint representation is then extended to Vinberg’s θ -groups. This yields a description...

Subgroups of continuous groups acting differentiably on the half-line

Joseph F. Plante (1984)

Annales de l'institut Fourier

Similarity:

We consider groups of diffeomorphisms of the closed half-line which fix only the end point. When the group is a Lie group it is isomorphic to a subgroup of the affine group. On the other hand, when the group is isomorphic to a discrete subgroup of a solvable Lie group it is topologically equivalent to a subgroup of the affine group.