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Displaying similar documents to “Smooth classification of Cartan actions of higher rank semisimple Lie groups and their lattices.”

Topological conjugacy of locally free 𝐑 n - 1 actions on n -manifolds

David C. Tischler, Rosamond W. Tischler (1974)

Annales de l'institut Fourier

Similarity:

For actions as in the title we associate a collection of rotation numbers. If one of them is sufficiently irrational then the action is conjugate (as an action) to either a linear action on a torus or to an action on a principal T k bundle over T 2 with T k × R 1 orbits.

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.