The natural vector valued 1-forms Q on the natural bundles associated with product preserving functors (including the tangent bundle, the bundle of first order k-velocities, the bundle of second order 1-velocities and the bundle of linear frames) and on the cotangent bundle are classified. Then, these forms Q are used to study the torsion τ = [Γ, Q] of connections Γ on the above bundles, where [.,.] is the Frölicher-Nijenhuis bracket.

Torsions and connections on some natural bundles / I. KOLAR; M. MODUGNO. - In: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. - ISSN 0926-2245. - STAMPA. - 2, 1:(1992), pp. 1-16. [10.1016/0926-2245(92)90006-9]

Torsions and connections on some natural bundles

MODUGNO, MARCO
1992

Abstract

The natural vector valued 1-forms Q on the natural bundles associated with product preserving functors (including the tangent bundle, the bundle of first order k-velocities, the bundle of second order 1-velocities and the bundle of linear frames) and on the cotangent bundle are classified. Then, these forms Q are used to study the torsion τ = [Γ, Q] of connections Γ on the above bundles, where [.,.] is the Frölicher-Nijenhuis bracket.
1992
2, 1
1
16
I. KOLAR; M. MODUGNO
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/213754
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