Relative geodesics in bi-invariant Lie groups

DOI10.1098/rspa.2016.0619zbMath1404.22024OpenAlexW2615146704WikidataQ115269200 ScholiaQ115269200MaRDI QIDQ4647204

Erchuan Zhang, Lyle Noakes

Publication date: 4 January 2019

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2016.0619

zbMATH Keywords

Euler-Lagrange equationbi-invariant Lie groupsrelative geodesicsthe special orthogonal group

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Quantum field theory on curved space or space-time backgrounds (81T20) Analysis on (p)-adic Lie groups (22E35)

Related Items (1)

Variational point-obstacle avoidance on Riemannian manifolds

Cites Work

• Local Cross Sections in Locally Compact Groups
• Cubic Splines on Curved Spaces
• Lie Groups, Lie Algebras, and Representations
• Relative geodesics in the special Euclidean group
• Differential geometry and minimal surfaces
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