Geometric characterization of linearisable second-order differential equations
1996 ◽
Vol 119
(2)
◽
pp. 373-381
◽
Keyword(s):
AbstractGiven an Ehresmann connection on the tangent bundle τ: TM → M we define a linear connection on the pull-back bundle τ*(TM). With the aid of this tool, necessary and sufficient conditions are derived for the existence of local coordinates in which a system of second-order differential equations is linear.
1993 ◽
Vol 113
(1)
◽
pp. 205-224
◽
1997 ◽
Vol 212
(1)
◽
pp. 51-59
◽
1993 ◽
Vol 08
(20)
◽
pp. 3565-3576
◽
1998 ◽
Vol 126
(1)
◽
pp. 123-125
◽