2 citations · 5 across the 3 of their papers we have counts for
3 papers
math.DG2009★ 2 cited
Reductions, Resolutions and the Copolarity of Isometric Group Actions
Frederick Magata
We present some results on reductions and the copolarity of isometric group actions, which we obtained in our thesis. We also describe a resolution construction for isometric actio…
math.DG2009★ 1 cited
A general Weyl-type Integration Formula for Isometric Group Actions
Frederick Magata
We show that integration over a -manifold can be reduced to integration over a minimal section with respect to an induced weighted measure and integration over a homogen…
math.DG2006★ 2 cited
An Integration Formula for Polar Actions
Frederick Magata
We prove an analogue of Weyl's Integration Formula for compact Lie groups in the context of polar actions. We also show how certain classical examples from the literature can be vi…