On a synthetic proof of the Ambrose-Palais-Singer theorem for infinitesimally linear spaces

Marta Bunge

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

Marta Bunge, Patrice Sawyer (1984)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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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 $G$ -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 $G$ -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.

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

The constructions of general connections on second jet prolongation

The principal prolongation of first order G -structures

The principal prolongation of first order $G$ -structures