13 citations · 27 across the 6 of their papers we have counts for
10 papers
gradings of complex simple Lie algebras
Mauricio Godoy Molina, Diego Lagos
The aim of this paper is to investigate the algebraic structure that appears on gradings of a complex simp…
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…
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…
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…
The rolling problem: overview and challenges
Yacine Chitour, Mauricio Godoy Molina, Petri Kokkonen
In the present paper we give a historical account -ranging from classical to modern results- of the problem of rolling two Riemannian manifolds one on the other, with the restricti…
Sub-semi-Riemannian geometry of general -type groups
Mauricio Godoy Molina, Anna Korolko, Irina Markina
We introduce a special class of nilpotent Lie groups of step 2, that generalizes the so called (eisenberg)-type groups, defined by A. Kaplan in 1980. We change the presence of i…
Extension of de Rham decomposition theorem via non-Euclidean development
Yacine Chitour, Mauricio Godoy Molina, Petri Kokkonen
In the present paper, we give a necessary and sufficient condition for a Riemannian manifold to have a reducible action of a hyperbolic analogue of the holonomy group. This…
Geometric conditions for the existence of an intrinsic rolling
Mauricio Godoy Molina, Erlend Grong
We give a complete answer to the question of when two curves in two different Riemannian manifolds can be seen as trajectories of rolling one manifold on the other without twisting…
An intrinsic formulation of the rolling manifolds problem
Mauricio Godoy Molina, Erlend Grong, Irina Markina +1
We present an intrinsic formulation of the kinematic problem of two dimensional manifolds rolling one on another without twisting or slipping. We determine the configuration sp…
Sub-Riemannian geometry of parallelizable spheres
Mauricio Godoy Molina, Irina Markina
The first aim of the present paper is to compare various sub-Riemannian structures over the three dimensional sphere originating from different constructions. Namely, we desc…