2 citations · 3 across the 10 of their papers we have counts for
10 papers
A Spectral Sequence for a Graded Linear Map
Larry Bates, Martin Bendersky, Richard Churchill
We apply the method of spectral sequences to study classical problems in analysis. We illustrate the method by finding polynomial vector fields that commute with a given polynomial…
Vector fields and differential forms on the orbit space of a proper action
Larry Bates, Richard Cushman, Jędrzej Śniatycki
In this paper we study differential forms and vector fields on the orbit space of a proper action of a Lie group on a smooth manifold, defining them as multilinear maps on the gene…
A geometry where everything is better than nice
Larry Bates, Peter Gibson
We present a riemannian structure on the disk that has a remarkably rich structure. Geodesics are hypocycloids and the (negative of the) laplacian has integer spectrum with multipl…
An exotic symplectic
Larry M. Bates, O. Michael Melko
An explicit example of an exotic symplectic is given. Together with an earlier known example on , this yields an explicit exotic symplectic form on $\m…
Elastica as a dynamical system
Larry M. Bates, Robin Chhabra, Jedzrej Sniatycki
The elastica is a curve in that is stationary under variations of the integral of the square of the curvature. Elastica is viewed as a dynamical system that arises from the…
Not-quite-Hamiltonian reduction
Larry Bates, Jedrzej Sniatycki
The not-quite-Hamiltonian theory of singular reduction and reconstruction is described. This includes the notions of both regular and collective Hamiltonian reduction and reconstru…