paper

Local convexity for second order differential equations on a Lie algebroid

arXiv:2103.14418

Abstract

A theory of local convexity for a second order differential equation (SODE) on a Lie algebroid is developed. The particular case when the SODE is homogeneous quadratic is extensively discussed.

25 pages. To appear in Journal of Geometric Mechanics. arXiv admin note: substantial text overlap with arXiv:1608.01586