On "special" fibred coordinates for general and classical connections

Włodzimierz M. Mikulski

Annales Polonici Mathematici (2010)

  • Volume: 99, Issue: 1, page 99-105
  • ISSN: 0066-2216

Abstract

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Using a general connection Γ on a fibred manifold p:Y → M and a torsion free classical linear connection ∇ on M, we distinguish some “special” fibred coordinate systems on Y, and then we construct a general connection ˜ ( Γ , ) on Fp:FY → FM for any vector bundle functor F: ℳ f → of finite order.

How to cite

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Włodzimierz M. Mikulski. "On "special" fibred coordinates for general and classical connections." Annales Polonici Mathematici 99.1 (2010): 99-105. <http://eudml.org/doc/280929>.

@article{WłodzimierzM2010,
abstract = {Using a general connection Γ on a fibred manifold p:Y → M and a torsion free classical linear connection ∇ on M, we distinguish some “special” fibred coordinate systems on Y, and then we construct a general connection $\widetilde\{ℱ\}(Γ,∇)$ on Fp:FY → FM for any vector bundle functor F: ℳ f → of finite order.},
author = {Włodzimierz M. Mikulski},
journal = {Annales Polonici Mathematici},
keywords = {fibered manifolds; natural bundles; general connections; bundle functors},
language = {eng},
number = {1},
pages = {99-105},
title = {On "special" fibred coordinates for general and classical connections},
url = {http://eudml.org/doc/280929},
volume = {99},
year = {2010},
}

TY - JOUR
AU - Włodzimierz M. Mikulski
TI - On "special" fibred coordinates for general and classical connections
JO - Annales Polonici Mathematici
PY - 2010
VL - 99
IS - 1
SP - 99
EP - 105
AB - Using a general connection Γ on a fibred manifold p:Y → M and a torsion free classical linear connection ∇ on M, we distinguish some “special” fibred coordinate systems on Y, and then we construct a general connection $\widetilde{ℱ}(Γ,∇)$ on Fp:FY → FM for any vector bundle functor F: ℳ f → of finite order.
LA - eng
KW - fibered manifolds; natural bundles; general connections; bundle functors
UR - http://eudml.org/doc/280929
ER -

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