Some aspects of differential geometry associated with hypoelliptic second order operators

Tom Joseph Taylor

Vol. 136 (1989), No. 2, 355–378

DOI: 10.2140/pjm.1989.136.355

Abstract

I investigate some aspects of the geometry of the bicharacteristics of a class of hypoelliptic second order partial differential operators. The resulting geometry looks quite a bit like Riemannian geometry, although with interesting differences.

Mathematical Subject Classification 2000

Primary: 58G30

Secondary: 53C22, 58F17, 58G99, 35H05

Milestones

Received: 24 November 1986

Revised: 28 July 1987

Published: 1 February 1989