A first order prolongation of the conventional space

Abstract

A variational equation of the third order in three-dimensional space is proposed which describes autoparallel curves of some connection.

3 figures. MR1406360 (97e:58061); Zbl 0867.58021. Corrected after publ.: Formulae (24), (28), equation numbering, typos on p. 404, references

References in corpus (2)

• Symmetries of vector exterior differential systems and the inverse problem in second-order Ostrohrads'kyj mechanics
• Third-order relativistic dynamics: classical spinning particle travelling in a plane