Graduate Program in Mathematics.Ortaçgil, Ercüment.Abadoğlu, Ender.2023-03-162023-03-161995.MATH 1995 Ab14https://digitalarchive.library.bogazici.edu.tr/handle/123456789/15229In this thesis the higher order Ehresmann a-connections are studied as geometric objects. We prove that, any two Lie subgroups of the rth order jet group G~ which are isomorphic to G~ are conjugate. It follows from this result that the geometric objects defined by such subgroups are equivalent to the Ehresmann E-connections.30 cm.Geometry, Differential.vii, 19 leaves;