On lifts of some projectable vector fields associated to a product preserving gauge bundle functor on vector bundles

A. Ntyam; G. F. Wankap Nono; Bitjong Ndombol

Archivum Mathematicum (2014)

  • Volume: 050, Issue: 3, page 161-169
  • ISSN: 0044-8753

Abstract

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For a product preserving gauge bundle functor on vector bundles, we present some lifts of smooth functions that are constant or linear on fibers, and some lifts of projectable vector fields that are vector bundle morphisms.

How to cite

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Ntyam, A., Wankap Nono, G. F., and Ndombol, Bitjong. "On lifts of some projectable vector fields associated to a product preserving gauge bundle functor on vector bundles." Archivum Mathematicum 050.3 (2014): 161-169. <http://eudml.org/doc/261954>.

@article{Ntyam2014,
abstract = {For a product preserving gauge bundle functor on vector bundles, we present some lifts of smooth functions that are constant or linear on fibers, and some lifts of projectable vector fields that are vector bundle morphisms.},
author = {Ntyam, A., Wankap Nono, G. F., Ndombol, Bitjong},
journal = {Archivum Mathematicum},
keywords = {projectable vector field; Weil bundle; product preserving gauge bundle functor; lift; projectable vector field; Weil bundle; product preserving gauge bundle functor; lift},
language = {eng},
number = {3},
pages = {161-169},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On lifts of some projectable vector fields associated to a product preserving gauge bundle functor on vector bundles},
url = {http://eudml.org/doc/261954},
volume = {050},
year = {2014},
}

TY - JOUR
AU - Ntyam, A.
AU - Wankap Nono, G. F.
AU - Ndombol, Bitjong
TI - On lifts of some projectable vector fields associated to a product preserving gauge bundle functor on vector bundles
JO - Archivum Mathematicum
PY - 2014
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 050
IS - 3
SP - 161
EP - 169
AB - For a product preserving gauge bundle functor on vector bundles, we present some lifts of smooth functions that are constant or linear on fibers, and some lifts of projectable vector fields that are vector bundle morphisms.
LA - eng
KW - projectable vector field; Weil bundle; product preserving gauge bundle functor; lift; projectable vector field; Weil bundle; product preserving gauge bundle functor; lift
UR - http://eudml.org/doc/261954
ER -

References

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  1. Cordero, L.A., Dobson, C.T.J., De León, M., Differential geometry of frame bundles, Kluwer Academic Publishers, 1989. (1989) MR0980716
  2. Gancarzewicz, J., Mikulski, W.M., Pogoda, Z., Lifts of some tensor fields and connections to product preserving functors, Nagoya Math. J. 135 (1994), 1–14. (1994) Zbl0813.53010MR1295815
  3. Kolář, I., Covariant approach to natural transformations of Weil bundles, CMUC 27 (1986), 723–729. (1986) MR0874666
  4. Kolář, I., 10.1007/BF00133034, Ann. Global Anal. Geom. 6 (1988), 119–117. (1988) Zbl0678.58003MR0982760DOI10.1007/BF00133034
  5. Kolář, I., Modugno, M., 10.1016/0926-2245(92)90006-9, Differential Geom. Appl. 2 (1992), 1–16. (1992) Zbl0783.53021MR1244453DOI10.1016/0926-2245(92)90006-9
  6. Kolář, I., Slovák, J., Michor, P.W., Natural operations in differential geometry, Springer-Verlag Berlin–Heidelberg, 1993. (1993) Zbl0782.53013MR1202431
  7. Mikulski, W.M., 10.4064/cm90-2-7, Colloq. Math. 90 (2001), no. 2, 277–285. (2001) Zbl0988.58001MR1876848DOI10.4064/cm90-2-7
  8. Ntyam, A., Mba, A., On natural vector bundle morphisms T A ∘ ⊗ s q → ⊗ s q ∘ T A over id T A , Ann. Polon. Math. 96 (2009), no. 3, 295–301. (2009) MR2534175
  9. Ntyam, A., Wouafo, K.J., 10.4064/ap82-3-4, Ann. Polon. Math. 82 (2003), no. 3, 133–140. (2003) Zbl1081.58002MR2040808DOI10.4064/ap82-3-4

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