9 citations · 10 across the 4 of their papers we have counts for
8 papers
Jacobi fields on normal homogeneous Riemannian manifolds
Claudio Gorodski
We prove that a normal homogeneous space with the property that every Jacobi field along a geodesic vanishing at two points is the restriction of a Killing field along that geodesi…
Taut representations of compact simple Lie groups
Claudio Gorodski
In this paper we classify the reducible representations of compact simple Lie groups all of whose orbits are tautly embedded in Euclidean space with respect to Z_2 coefficients.
Homogeneity rank of real representations of compact Lie groups
Claudio Gorodski, Fabio Podesta
The main result of this paper is the classification of the real irreducible representations of compact Lie groups with vanishing homogeneity rank.
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…
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.
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…