Natural operators lifting functions to bundle functors on fibered manifolds

Włodzimierz M. Mikulski

Archivum Mathematicum (1998)

  • Volume: 034, Issue: 3, page 387-391
  • ISSN: 0044-8753

Abstract

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The complete description of all natural operators lifting real valued functions to bundle functors on fibered manifolds is given. The full collection of all natural operators lifting projectable real valued functions to bundle functors on fibered manifolds is presented.

How to cite

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Mikulski, Włodzimierz M.. "Natural operators lifting functions to bundle functors on fibered manifolds." Archivum Mathematicum 034.3 (1998): 387-391. <http://eudml.org/doc/248200>.

@article{Mikulski1998,
abstract = {The complete description of all natural operators lifting real valued functions to bundle functors on fibered manifolds is given. The full collection of all natural operators lifting projectable real valued functions to bundle functors on fibered manifolds is presented.},
author = {Mikulski, Włodzimierz M.},
journal = {Archivum Mathematicum},
keywords = {natural operator; bundle functor; natural operator; bundle functor},
language = {eng},
number = {3},
pages = {387-391},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Natural operators lifting functions to bundle functors on fibered manifolds},
url = {http://eudml.org/doc/248200},
volume = {034},
year = {1998},
}

TY - JOUR
AU - Mikulski, Włodzimierz M.
TI - Natural operators lifting functions to bundle functors on fibered manifolds
JO - Archivum Mathematicum
PY - 1998
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 034
IS - 3
SP - 387
EP - 391
AB - The complete description of all natural operators lifting real valued functions to bundle functors on fibered manifolds is given. The full collection of all natural operators lifting projectable real valued functions to bundle functors on fibered manifolds is presented.
LA - eng
KW - natural operator; bundle functor; natural operator; bundle functor
UR - http://eudml.org/doc/248200
ER -

References

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  3. Liftings of functions and vector fields to natural bundles, Warszawa 1983, Dissertationes Mathematicae CCXII, . MR0697471
  4. Natural operations in differential geometry, Springer-Verlag, Berlin 1993, . MR1202431
  5. Natural transformations transforming functions and vector fields to functions on some natural bundles, Math. Bohemica, 117 (1992), 217-223. Zbl0810.58004MR1165899
  6. Natural operators lifting functions to cotangent bundles of linear higher order tangent bundles, Winter School on Geometry and Physics (Srni 1995), Suppl. ai Rendiconti del Circolo Matematico di Palermo, 43 (1996), 199-206. Zbl0909.58002MR1463522
  7. Invariants of Lagrangians on Weil bundles and their classifications, Geom. Dedicata, (1997) (to appear). Zbl0890.58001MR1468862
  8. Prolongations of connections to bundles of infinitely near points, J. Diff. Geom. 11 (1976), 476-498. MR0445422
  9. Tangent and cotangent bundles, Marcel Dekker, INC., New York 1973. MR0350650
  10. Prolongations of tensor fields and connections to tangent bundles, J. Math. Soc. Japan, 18(1966), 194-210. MR0193596

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