On geodesics in subRiemannian geometry
by Bernard Gaveau   Peter C. Greiner  

Vol. 1 No. 1 (2006) P.79~P.209

ABSTRACT

We study a subRiemannian geometry induced by 2 specific vector fields in $\mathbb{R}^3$, and obtain the canonical curve whose tangents provide the missing direction.

KEYWORDS
Canonical submanifold, geodesics, Hamiltonian formalism, subRiemannian geometry

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 58A30, 53C22

MILESTONES

Received: 2006-01-27
Revised :
Accepted:

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