8 citations · 36 across the 23 of their papers we have counts for
15 papers · 1 filter
On Absolute Equivalence and Linearization I
Jeanne Clelland, Yuhao Hu
In this paper, we study the absolute equivalence between Pfaffian systems with a degree 1 independence condition and obtain structural results, particularly for systems of corank 3…
Flat Metrics with a Prescribed Derived Coframing
Robert L. Bryant, Jeanne N. Clelland
The following problem is addressed: A -manifold is endowed with a triple of closed -forms. One wants to construct a coframing $ω= \big(ω^1,ω^2,…
A counterexample to Matsumoto's conjecture regarding absolute length vs. relative length in Finsler manifolds
Jeanne N. Clelland
Matsumoto conjectured that for any Finsler manifold for which the restriction of the fundamental tensor to the indicatrix of is positive definite, the absolute length…
Isometric Embedding and Darboux Integrability
Jeanne Clelland, Thomas Ivey, Naghmana Tehseen +1
Given a smooth 2-dimensional Riemannian or pseudo-Riemannian manifold and an ambient 3-dimensional Riemannian or pseudo-Riemannian manifold $(N, \boldsymbol{h…
Isometric embedding via strongly symmetric positive systems
Gui-Qiang Chen, Jeanne Clelland, Marshall Slemrod +2
We give a new proof for the local existence of a smooth isometric embedding of a smooth -dimensional Riemannian manifold with nonzero Riemannian curvature tensor into -dimens…
Geometry of Centroaffine Surfaces in
Nathaniel Bushek, Jeanne N. Clelland
We use Cartan's method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in with…