On canonical constructions on connections

Jan Kurek; Włodzimierz Mikulski

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2016)

  • Volume: 70, Issue: 1
  • ISSN: 0365-1029

Abstract

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We study  how a projectable general connection Γ in a 2-fibred manifold Y 2 Y 1 Y 0   and a general vertical connection Θ in Y 2 Y 1 Y 0 induce a general connection A ( Γ , Θ ) in Y 2 Y 1 .

How to cite

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Jan Kurek, and Włodzimierz Mikulski. "On canonical constructions on connections." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 70.1 (2016): null. <http://eudml.org/doc/289790>.

@article{JanKurek2016,
abstract = {We study  how a projectable general connection $\Gamma $ in a 2-fibred manifold $Y^2\rightarrow Y^1\rightarrow Y^0$  and a general vertical connection $\Theta $ in $Y^2\rightarrow Y^1\rightarrow Y^0$ induce a general connection $A(\Gamma ,\Theta )$ in $Y^2\rightarrow Y^1$.},
author = {Jan Kurek, Włodzimierz Mikulski},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {General connection; projectable general connection; general vertical connection; 2-fibred manifold; natural operator},
language = {eng},
number = {1},
pages = {null},
title = {On canonical constructions on connections},
url = {http://eudml.org/doc/289790},
volume = {70},
year = {2016},
}

TY - JOUR
AU - Jan Kurek
AU - Włodzimierz Mikulski
TI - On canonical constructions on connections
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2016
VL - 70
IS - 1
SP - null
AB - We study  how a projectable general connection $\Gamma $ in a 2-fibred manifold $Y^2\rightarrow Y^1\rightarrow Y^0$  and a general vertical connection $\Theta $ in $Y^2\rightarrow Y^1\rightarrow Y^0$ induce a general connection $A(\Gamma ,\Theta )$ in $Y^2\rightarrow Y^1$.
LA - eng
KW - General connection; projectable general connection; general vertical connection; 2-fibred manifold; natural operator
UR - http://eudml.org/doc/289790
ER -

References

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  1. Kolar, I., Michor, P. W., Slovak, J., Natural Operations in Differential Geometry, Springer-Verlag, Berlin, 1993. 

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