Geometric equivalence on nonholonomic three-manifolds

Kurt Ehlers

doi:10.3934/proc.2003.2003.246

Article Contents

2003, Volume 2003: 246-255. Doi: 10.3934/proc.2003.2003.246 open access

This issue Previous Article Kelvin-Helmholtz instability waves of supersonic multiple jets Next Article Making the numerical abscissa negative for a class of neutral equations

Geometric equivalence on nonholonomic three-manifolds

Kurt Ehlers^1,

1.
Truckee Meadows Community College, 7000 Dandini Blvd, Reno, NV 89512

Received: August 31, 2002

Revised: March 31, 2003

Published: March 2003

Abstract Related Papers Cited by

Abstract

We apply Cartan’s method of equivalence to the case of nonholonomic geometry on three-dimensional contact manifolds. Our main result is to derive the differential invariants for these structures and give geometric interpretations. We show that the symmetry group of such a structure has dimension at most four. Our motivation is to study the geometry associated with classical mechanical systems with nonholonomic constraints.

Keywords:

Mathematics Subject Classification: Primary: 70G45,53C10,37J60; Secondary: 58A17.

Citation:

Article Metrics

HTML views() PDF downloads(124) Cited by(0)

Geometric equivalence on nonholonomic three-manifolds

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Geometric equivalence on nonholonomic three-manifolds

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content