| Title:
|
Natural transformations between $TTT^*M$ and $TT^*TM$ (English) |
| Author:
|
Doupovec, Miroslav |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
43 |
| Issue:
|
4 |
| Year:
|
1993 |
| Pages:
|
599-613 |
| . |
| Category:
|
math |
| . |
| MSC:
|
53A55 |
| MSC:
|
53C05 |
| MSC:
|
58A20 |
| idZBL:
|
Zbl 0806.53024 |
| idMR:
|
MR1258423 |
| DOI:
|
10.21136/CMJ.1993.128434 |
| . |
| Date available:
|
2009-09-24T09:33:46Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128434 |
| . |
| Reference:
|
[1] M. Doupovec: Natural operators transforming vector fields to the second order tangent bundle.Čas. pěst. mat. 115 (1990), 64–72. Zbl 0712.58003, MR 1044015 |
| Reference:
|
[2] M. Doupovec: Natural transformations between $T^2_1T^*M$ and $T^*T^2_1M$.Ann. Polon. Math. 56 (1991), 67–77. Zbl 0743.53016, MR 1145571, 10.4064/ap-56-1-67-77 |
| Reference:
|
[3] G. Kainz, P.W. Michor: Natural transformations in differential geometry.Czech. Math. J. 37 (1987), 584–607. MR 0913992 |
| Reference:
|
[4] P. Kobak: Natural liftings of vector fields to tangent bundles of bundles of 1-forms.Mathematica Bohemica 116 (1991), 319–326. Zbl 0743.53008, MR 1126453 |
| Reference:
|
[5] I. Kolář: Natural transformations of the second tangent functor into itself.Arch. Math.(Brno) XX (1984), 169–172. MR 0784868 |
| Reference:
|
[6] I. Kolář: On the natural operators on vector fields.Ann. Global Anal. Geom. 6 (1988), 109–117. MR 0982760, 10.1007/BF00133034 |
| Reference:
|
[7] I. Kolář, Z. Radziszewski: Natural transformations of second tangent and cotangent functors.Czech. Math. J. 38(113) (1988), 274–279. MR 0946296 |
| Reference:
|
[8] I. Kolář, M. Modugno: Torsions of connections on some natural bundles.Differential Geometry and its Applications 2 (1992), 1–16. MR 1244453 |
| Reference:
|
[9] I. Kolář, P.W. Michor, J. Slovák: Natural operations in differential geometry.Springer Verlag, 1993. MR 1202431 |
| Reference:
|
[10] M. Modugno, G. Stefani: Some results on second tangent and cotangent spaces.Quaderni dell’ Instituto di Matematica dell’ Universita di Lecce Q.16 (1978). |
| Reference:
|
[11] A. Nijenhuis: Natural bundles and their general properties.Diff. Geometry in honor of K. Yano, Kinokuniya,Tokyo (1972), 317–334. Zbl 0246.53018, MR 0380862 |
| Reference:
|
[12] J. E. White: The method of iterated tangents with applications in local Riemannian geometry.Pitman Press, London, 1982. Zbl 0478.58002, MR 0693620 |
| . |
