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math.MG2022
A geometric take on Kostant's Convexity Theorem
Ricardo A. E. Mendes
Given a compact Lie group and an orthogonal -representation , we give a purely metric criterion for a closed subset of the orbit space to have convex pre-image in $…
math.MG2020★ 2 cited
Lifting isometries of orbit spaces
Ricardo A. E. Mendes
Given an orthogonal representation of a compact group, we show that any element of the connected component of the isometry group of the orbit space lifts to an equivariant isometry…
math.MG2019
A diameter gap for quotients of the unit sphere
Claudio Gorodski, Christian Lange, Alexander Lytchak +1
We prove that for any isometric action of a group on a unit sphere of dimension larger than one, the quotient space has diameter zero or larger than a universal dimension-independe…