Cubics and negative curvature

DOI10.1016/j.difgeo.2012.09.004zbMath1257.53023OpenAlexW2001628903WikidataQ115356671 ScholiaQ115356671MaRDI QIDQ1931896

Lyle Noakes, Michael Pauley

Publication date: 16 January 2013

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2012.09.004

zbMATH Keywords

negative curvatureRiemannian cubic

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Geodesics in global differential geometry (53C22) Local Riemannian geometry (53B20)

Related Items

About simple variational splines from the Hamiltonian viewpoint, Minimal time splines on the sphere

Cites Work

• Geodesic flows
• Conformal geodesics on vacuum space-times
• Elastic curves as solutions of Riemannian and sub-Riemannian control problems.
• Non-null Lie quadratics in E3
• Quadratures and cubics in SO(3) and SO(1,2)
• Cubic Splines on Curved Spaces
• Null Riemannian cubics in tension in SO(3)
• Asymptotics of Null Lie Quadratics in $E^3$
• Fitting Smooth Paths to Speherical Data
• Null cubics and Lie quadratics
• Geometry VI. Riemannian geometry. Transl. from the Russian by S. A. Vakhrameev