A FIRST ORDER PROLONGATION OF THE CONVENTIONAL SPACE

R. Ya. Matsyuk

Key words: Higher-order connection,
        Inverse variational problem, Invariance.

1991 Math. Subject Classification: 53B40, 58E30, 70H, 49N45.

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