All directing fields that are polynomial in the (n−1) velocity are geodesic

DOI10.1063/1.528371zbMath0676.53090OpenAlexW1997843571MaRDI QIDQ3831660

Robert Alan Coleman, Herbert Korte

Publication date: 1989

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528371

zbMATH Keywords

jet bundlesprojective structurepath structures

Mathematics Subject Classification ID

Jets in global analysis (58A20) Applications of global differential geometry to the sciences (53C80) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (1)

A geometric formulation of the equivalence principle

Cites Work

• Constraints on the nature of inertial motion arising from the universality of free fall and the conformal causal structure of space-time
• Any physical, monopole equation of motion structure uniquely determines a projective inertial structure and an (n−1)-force
• Path structures on manifolds

This page was built for publication: All directing fields that are polynomial in the (n−1) velocity are geodesic