2 papers
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.DG2000
Isoparametric submanifolds and a Chevalley-type restriction theorem
Ernst Heintze, Xiaobo Liu, Carlos Olmos
We define and study isoparametric submanifolds of general ambient spaces and of arbitrary codimension. In particular we study their behaviour with respect to Riemannian submersions…