3 papers
math.DG2021
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…
math.DG2016
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…
math.DG2012
On curves of constant torsion I
Larr M. Bates, O. Michael Melko
We give an explicit construction of a closed curve with constant torsion and everywhere positive curvature. We also discuss the restrictions on closed curves of constant torsion wh…