Riemannian geometry

A comprehensive introduction to sub-Riemannian geometry from the Hamiltonian viewpoint

Davide Barilari, Ugo Boscain

Citations: 290 • 2020

Understanding the geometry of workspace obstacles in Motion Optimization

Nathan Ratliff, Marc Toussaint, Stefan Schaal

Citations: 58 • 2015

Normalizing Flows on Riemannian Manifolds

Mevlana Gemici, Danilo Jimenez Rezende, Shakir Mohamed

Citations: 46 • 2016

Geometric Control Theory and Sub-Riemannian Geometry

Gianna Stefani, Ugo Boscain, Mario Sigalotti, Andrey Sarychev

Citations: 33 • 2014

Entropy and complexity of a path in sub-Riemannian geometry

Frédéric Jean

Citations: 31 • 2003

Riemannian Score-Based Generative Modelling

Valentin De Bortoli, Émile Mathieu, Michael Hutchinson, Jim Thornton, Yee Whye Teh, Randal Douc

Citations: 26 • 2022

A Riemannian-Geometry Approach for Control of Robotic Systems under Constraints

Suguru Arimoto, Morio Yoshida, Masahiro Sekimoto, Kenji Tahara

Citations: 25 • 2009

The rolling problem: overview and challenges

Yacine Chitour, Mauricio Godoy Molina, Petri Kokkonen

Citations: 18 • 2014

Optimal Robot Design and Differential Geometry

F. C. Park

Citations: 18 • 1995

A Riemannian metric for geometry-aware singularity avoidance by articulated robots

Filip Marić, Luka Petrović, Marko Guberina, Jonathan Kelly, Ivan Petrović

Citations: 16 • 2021

Programming by Demonstration on Riemannian Manifolds

Martinus Zeestraten

Citations: 12 • 2018

Optimal Robot Design and Differential Geometry

F. C. Park

Citations: 11 • 1995

A riemannian-geometry approach for dynamics and control of object manipulation under constraints

S. Arimoto, Morio Yoshida, Masahiro Sekimoto, Kenji Tahara

Citations: 11 • 2009

Bayesian Optimization Meets Riemannian Manifolds in Robot Learning

Noémie Jaquier, Leonel Dario Rozo, Sylvain Calinon, Mathias Bürger

Citations: 10 • 2019

Optimal control problems on parallelizable Riemannian manifolds: theory and applications

Ram Iyer, Raymond Holsapple, David Doman

Citations: 9 • 2005

A Riemannian-Geometry Approach for Modeling and Control of Dynamics of Object Manipulation under Constraints

Suguru Arimoto, Morio Yoshida, Masahiro Sekimoto, Kenji Tahara

Citations: 9 • 2009

A unified formulation of geometry-aware discrete dynamic movement primitives

Fares J. Abu‐Dakka, Matteo Saveriano, Ville Kyrki

Citations: 8 • 2024

Unraveling the Single Tangent Space Fallacy: An Analysis and Clarification for Applying Riemannian Geometry in Robot Learning

Noémie Jaquier, Leonel Rozo, Tamim Asfour

Citations: 7 • 2024

Sub-Riemannian geometry, Hamiltonian dynamics, micro-swimmers, copepod nauplii and copepod robot

Bernard Bonnard, Monique Chyba, Jérémy Rouot, Daisuke Takagi

Citations: 7 • 2018

Strict Nonlinear Normal Modes of Systems Characterized by Scalar Functions on Riemannian Manifolds

Alin Albu‐Schäffer, Dominic Lakatos, Stefano Stramigioli

Citations: 7 • 2021