Document Type
Article
Publication Title
Asian Journal of Mathematics
Abstract
We analyze the geometry of sub-Finsler Engel manifolds, computing a complete set of local invariants for a large class of these manifolds. We derive geodesic equations for regular geodesics and show that in the symmetric case, the rigid curves are local minimizers. We end by illustrating our results with an example.
First Page
699
Last Page
726
DOI
10.4310/AJM.2007.v11.n4.a9
Publication Date
1-1-2007
Recommended Citation
Clelland, Jeanne N.; Moseley, Christopher G.; and Wilkens, George R., "Geometry of sub-Finsler Engel manifolds" (2007). University Faculty Publications and Creative Works. 465.
https://digitalcommons.calvin.edu/calvin_facultypubs/465