Document Zbl 0905.53018

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Natural lifts of classical linear connections to the cotangent bundle. (English) Zbl 0905.53018

Slovák, Jan (ed.), Proceedings of the 15th Winter School on geometry and physics, Srní, Czech Republic, January 14–21, 1995. Palermo: Circolo Matemàtico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 43, 181-187 (1996).

The author deduces that all natural operators transforming classical torsion-free connections on a manifold \(M\) into classical connections on the cotangent bundle \(T^*M\) form a 21-parameter family. All difference tensors are characterized geometrically.
For the entire collection see [Zbl 0884.00042].

Reviewer: I.Kolář (Brno)

Cited in 2 Documents

MSC:

53C05	Connections (general theory)
58A20	Jets in global analysis

Keywords:

natural operator; torsion-free connection; cotangent bundle

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