3 papers
math.DG2004
Sub-Finsler geometry in dimension three
Jeanne N. Clelland, Christopher G. Moseley
We define the notion of sub-Finsler geometry as a natural generalization of sub-Riemannian geometry with applications to optimal control theory. We compute a complete set of local…
math.AP2002
Parametric Backlund transformations I: Phenomenology
Jeanne N. Clelland, Thomas A. Ivey
We begin an exploration of parametric Backlund transformations for hyperbolic Monge-Ampere systems. We compute invariants for such transformations and explore the behavior of four…
math.AP1998
On the intermediate integral for Monge-Ampere equations
Jeanne Nielsen Clelland
Goursat showed that in the presence of an intermediate integral, the problem of solving a second-order Monge-Ampere equation can be reduced to solving a first-order equation, in th…