Non-geodesic particle trajectories with vanishing higher accelerations

DOI10.1016/j.geomphys.2013.08.013zbMath1290.53034OpenAlexW1984653354MaRDI QIDQ391050

Michael Pauley, Óscar J. Garay

Publication date: 9 January 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2013.08.013

zbMATH Keywords

Lorentzian manifoldsFrenet helicesgeodesics and generalizationshigher accelerations

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Applications of local differential geometry to the sciences (53B50) Local submanifolds (53B25) Local Riemannian geometry (53B20) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• Unnamed Item
• Isometric immersions of Lorentz space with parallel second fundamental forms
• Higher order geodesics in Lie groups
• The Jacobi map
• Reduction of the codimension of an isometric immersion
• Codimension One Isometric Immersions Between Lorentz Spaces
• Cubic Splines on Curved Spaces
• Unit speed stationary points of the acceleration
• Relativistic particles with rigidity and torsion in D = 3 spacetimes
• Fitting Smooth Paths to Speherical Data
• Splines of class C^k on non-euclidean spaces
• Parabolic curves in Lie groups
• Jupp and Kent's cubics in Lie groups

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