On connections, geodesics and sprays in synthetic differential geometry
Marta Bunge, Patrice Sawyer (1984)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Displaying similar documents to “On a synthetic proof of the Ambrose-Palais-Singer theorem for infinitesimally linear spaces”
On connections, geodesics and sprays in synthetic differential geometry
G-connections as twisted formal solutions of systems of PDE's related to geometric structures
Ortaçgil, Ercüment
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The constructions of general connections on second jet prolongation
Mariusz Plaszczyk (2014)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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We determine all natural operators D transforming general connections Γ on fibred manifolds Y → M and torsion free classical linear connections ∇ on M into general connections D(Γ,∇) on the second order jet prolongation J2Y → M of Y → M.
The principal prolongation of first order -structures
Slovák, Jan
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The author uses the concept of the first principal prolongation of an arbitrary principal filter bundle to develop an alternative procedure for constructing the prolongations of a class of the first-order -structures. The motivation comes from the almost Hermitian structures, which can be defined either as standard first-order structures, or higher-order structures, but if they do not admit a torsion-free connection, the classical constructions fail in general.