3 papers
math.DG2020
Sub-Riemannian geodesics on nested principal bundles
Mauricio Godoy Molina, Irina Markina
We study the interplay between geodesics on two non-holono\-mic systems that are related by the action of a Lie group on them. After some geometric preliminaries, we use the Hamilt…
math.DG2017
Lie algebras attached to Clifford modules and simple graded Lie algebras
Kenro Furutani, Mauricio Godoy Molina, Irina Markina +2
We study possible cases of complex simple graded Lie algebras of depth 2, which are the Tanaka prolongations of pseudo -type Lie algebras arising through representation of Cliff…
math.DG2017
Submersions and curves of constant geodesic curvature
Mauricio Godoy Molina, Erlend Grong, Irina Markina
Considering Riemannian submersions, we find necessary and sufficient conditions for when sub-Riemannian normal geodesics project to curves of constant first geodesic curvature or c…