3 citations · 11 across the 7 of their papers we have counts for
7 papers
Local freeness in frame bundle prolongations of actions
Scot Adams
Let ~be a real Lie group and let be the identity component of~. Let ~act on a real manifold~. Assume the action is . Assume that the fixp…
Generic freeness in frame bundle prolongations of actions
Scot Adams
Let a real Lie group act on a real manifold . Assume that the action is and that every nontrivial element of has a nowhere dense fixpoint set in $M…
Discrete free Abelian central stabilizers in a higher order frame bundle
Scot Adams
Let a real Lie group have a action on a real manifold . Assume every nontrivial element of has nowhere dense fixpoint set in . First, we show, in every fra…
Real analytic counterexample to the freeness conjecture
Scot Adams
We provide a counterexample to P.~Olver's freeness conjecture for transformations.
Freeness in higher order frame bundles
Scot Adams
We provide counterexamples to P. Olver's freeness conjecture for actions. In fact, we show that a counterexample exists for any connected real Lie group with noncompact…
Moving frames and prolongations of real algebraic actions
Scot Adams
We prove that every real algebraic action on a smooth real algebraic variety has a prolongation with a "moving frame".