×

Natural transformations of the second tangent functor and soldered morphisms. (English) Zbl 0779.53015

All natural transformations of the iterated tangent functor TT into itself were determined by the reviewer [Arch. Math., Brno 20, 169-172 (1984; Zbl 0578.58004)]. The author rededuces this result by using the concept of double vector bundle with soldering and presents geometric interpretation of the transformations in question.
Reviewer: I.Kolář (Brno)

MSC:

53C05 Connections (general theory)
53A55 Differential invariants (local theory), geometric objects

Citations:

Zbl 0578.58004
PDFBibTeX XMLCite
Full Text: EuDML

References:

[1] J. Janyška: Geometrical properties of prolongation functors. Časop. pěst. mat. 110 (1985), 77-86. · Zbl 0582.58002
[2] I. Kolář, Z. Radziszewski: Natural transformations of second tangent and cotangent functors. Czech. Mat. J. 38 (113) 1988, 274-279. · Zbl 0669.53023
[3] I. Kolář: Natural transformations of the second tangent functor into itself. Arch. Math. 4, Fac. Rer. Nat. UJEP Brunensis XX (1984), 169-172. · Zbl 0578.58004
[4] A. Vanžurová: Double vector spaces. Acta UPO, Fac. rer. nat. 88 (1987), 9-25. · Zbl 0701.58004
[5] A. Vanžurová: Double linear connections. Acta UPO, Fac. rer. nat. 100 (1991), 257-271. · Zbl 0762.53014
[6] A. Vanžurová: Soldered double linear morphisms. Mathematica Bohemica, to appear in 1992 . · Zbl 0763.53032
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.