A canonical frame for nonholonomic rank two distributions of maximal class Academic Article uri icon

abstract

  • In 1910 E. Cartan constructed the canonical frame and found the most symmetric case for maximally nonholonomic rank 2 distributions in ℝ5. We solve the analogous problems for rank 2 distributions in ℝn for arbitrary n > 5. Our method is a kind of symplectification of the problem and it is completely different from the Cartan method of equivalence. © 2006 Académie des sciences. Published by Elsevier SAS. All rights reserved.

author list (cited authors)

  • Doubrov, B., & Zelenko, I.

citation count

  • 8

complete list of authors

  • Doubrov, Boris||Zelenko, Igor

publication date

  • April 2006