Mauricio Godoy Molina
Papers
2
Total Citations
22
H-Index
2
About
Mauricio Godoy Molina is a mathematician whose research lies at the intersection of differential geometry, control theory, and geometric mechanics. His most influential work centers on the classical "rolling problem," which investigates how one Riemannian manifold can roll over another without slipping or spinning. In his landmark 2014 survey, "The rolling problem: overview and challenges" (18 citations), Godoy Molina provides a comprehensive historical account—from classical to modern results—of this deceptively simple yet deeply rich geometric problem. This work has become a key reference for researchers exploring nonholonomic constraints and their applications in robotics and geometric control. Alongside a 2013 precursor (4 citations), his contributions have helped revitalize interest in rolling motions as a framework for understanding curvature, parallel transport, and sub-Riemannian geometry. Godoy Molina’s research elegantly bridges pure mathematics and applied fields, offering students and scholars a clear entry point into a problem that continues to inspire new developments in geometric control and differential geometry.
Research Focus
Key Achievements
Top Papers
- 1The rolling problem: overview and challenges18 citations · 2014
- 2The rolling problem: overview and challenges4 citations · 2013