24 citations · 95 across the 32 of their papers we have counts for
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math.DG2002
Copolarity of isometric actions
Claudio Gorodski, Carlos Olmos, Ruy Tojeiro
We introduce a new integral invariant for isometric actions of compact Lie groups, the copolarity. Roughly speaking, it measures how far from being polar the action is. We generali…
math.DG2002
Variationally complete actions on compact symmetric spaces
Claudio Gorodski, Gudlaugur Thorbergsson
We prove that an isometric action of a compact Lie group on a compact symmetric space is variationally complete if and only if it is hyperpolar.
math.DG2002★ 19 cited
Representations of compact Lie groups and the osculating spaces of their orbits
Claudio Gorodski, Gudlaugur Thorbergsson
Several classes of irreducible orthogonal representations of compact Lie groups that are of importance in Differential Geometry have the property that the second osculating spaces…