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On the stability of Hamiltonian relative equilibria with non-trivial isotropy
Hamiltonian relative equilibria with non-trivial isotropy
2010/11/11
We consider Hamiltonian systems with symmetry, and relative equilibria with isotropy subgroup of positive dimension. The stability of such relative equilibria has been studied by Ortega and Ratiu and ...
Triviality of the dressing isotropy for a Smyth-type potential and nonclosing of the resulting CMC surfaces
Triviality dressing isotropy for a Smyth-type potential nonclosing resulting CMC surfaces
2010/12/10
In [2] we have investigated spacelike surfaces in Minkowski 3-space which are generated by the
potential = −1 0 1 z−1 0 dz .
The equivariant cohomology of isotropy actions on symmetric spaces
equivariant cohomology of isotropy actions symmetric spaces
2010/12/9
We show that for every symmetric space G=K of compact type with K connected, the K-action on G=K by left translations is equivariantly formal.
Homogeneous Hypersurfaces with Isotropy in Affine Four-space
Homogeneous Hypersurfaces Affine Four-space
2010/10/29
We classify the non-degenerate homogeneous hypersurfaces in real and complex affine four-space whose symmetry group is at least four-dimensional.