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math.DG2017★ 1 cited
A Note On Polar Representations
Francisco J. Gozzi
We show how a polar representation of a compact connected Lie group can be linearly determined from its dimension and isotropy subgroup data in the general reducible case.
math.DG2017
Representations with -reductions and quaternion-Kähler symmetric spaces
Claudio Gorodski, Francisco J. Gozzi
We classify non-polar irreducible representations of connected compact Lie groups whose orbit space is isometric to that of a representation of a finite extension of for…
math.DG2014★ 2 cited
Low Dimensional Polar Actions
Francisco J. Gozzi
Polar manifolds are Riemannian G-manifolds admitting a "section", i.e., a complete submanifold passing through every orbit and doing so orthogonally. We consider compact simply-con…