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.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.