415 citations
- Argonne National LaboratoryUS38 papers
- National Institute for Subatomic PhysicsNL38 papers
- University of Illinois Urbana-ChampaignUS36 papers
- University of PennsylvaniaUS36 papers
- Kyoto UniversityJP35 papers
- The University of MelbourneAU35 papers
- TRIUMFCA35 papers
- Nagoya UniversityJP34 papers
- University of ArizonaUS34 papers
- University of British ColumbiaCA34 papers
- University of California, Santa CruzUS34 papers
- University of OxfordGB34 papers
5 papers · 1 filter
Length spectra of sub-Riemannian metrics on compact Lie groups
András Domokos, Matthew Krauel, Vincent Pigno +2
Length spectra for Riemannian metrics are well studied, while sub-Riemannian length spectra have been largely unexplored. Here we give the length spectrum for a canonical sub-Riema…
Complete spelling rules for the Monster tower over three-space
Alex L Castro, Wyatt Howard, Corey Shanbrom
The Monster tower, also known as the Semple tower, is a sequence of manifolds with distributions of interest to both differential and algebraic geometers. Each manifold is a projec…
The Length Spectrum of the Sub-Riemannian Three-Sphere
David Klapheck, Michael VanValkenburgh
We determine the lengths of all closed sub-Riemannian geodesics on the three-sphere. Our methods are elementary and allow us to avoid using explicit formulas for the sub-Riemannian…
Bridges Between Subriemannian Geometry and Algebraic Geometry
Alex L Castro, Wyatt Howard, Corey Shanbrom
We consider how the problem of determining normal forms for a specific class of nonholonomic systems leads to various interesting and concrete bridges between two apparently unrela…
The Puiseux Characteristic of a Goursat Germ
Corey Shanbrom
Germs of Goursat distributions can be classified according to a geometric coding called an RVT code. Jean (1996) and Mormul (2004) have shown that this coding carries precisely the…