Higher-order differential equations represented by connections on prolongations of a fibered manifold.

Alexandr Vondra

Extracta Mathematicae (2000)

  • Volume: 15, Issue: 3, page 421-512
  • ISSN: 0213-8743

Abstract

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The main goal of the present work is a generalization of the ideas, constructions and results from the first and second-order situation, studied in [63], [64] to that of an arbitrary finite-order one. Moreover, the investigation extends the ideas of [65] from the one-dimensional base X corresponding to O.D.E.

How to cite

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Vondra, Alexandr. "Higher-order differential equations represented by connections on prolongations of a fibered manifold.." Extracta Mathematicae 15.3 (2000): 421-512. <http://eudml.org/doc/38639>.

@article{Vondra2000,
abstract = {The main goal of the present work is a generalization of the ideas, constructions and results from the first and second-order situation, studied in [63], [64] to that of an arbitrary finite-order one. Moreover, the investigation extends the ideas of [65] from the one-dimensional base X corresponding to O.D.E.},
author = {Vondra, Alexandr},
journal = {Extracta Mathematicae},
keywords = {Ecuaciones diferenciales; Geometría diferencial; Espacio fibrado; Variedades; Prolongación de conexiones; fibered manifolds; jet bundles; higher-order differential equations; semispray connections},
language = {eng},
number = {3},
pages = {421-512},
title = {Higher-order differential equations represented by connections on prolongations of a fibered manifold.},
url = {http://eudml.org/doc/38639},
volume = {15},
year = {2000},
}

TY - JOUR
AU - Vondra, Alexandr
TI - Higher-order differential equations represented by connections on prolongations of a fibered manifold.
JO - Extracta Mathematicae
PY - 2000
VL - 15
IS - 3
SP - 421
EP - 512
AB - The main goal of the present work is a generalization of the ideas, constructions and results from the first and second-order situation, studied in [63], [64] to that of an arbitrary finite-order one. Moreover, the investigation extends the ideas of [65] from the one-dimensional base X corresponding to O.D.E.
LA - eng
KW - Ecuaciones diferenciales; Geometría diferencial; Espacio fibrado; Variedades; Prolongación de conexiones; fibered manifolds; jet bundles; higher-order differential equations; semispray connections
UR - http://eudml.org/doc/38639
ER -

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