Double vector bundles and duality

Katarzyna Konieczna; Pawel Urbański

Archivum Mathematicum (1999)

  • Volume: 035, Issue: 1, page 59-95
  • ISSN: 0044-8753

Abstract

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The notions of the dual double vector bundle and the dual double vector bundle morphism are defined. Theorems on canonical isomorphisms are formulated and proved. Several examples are given.

How to cite

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Konieczna, Katarzyna, and Urbański, Pawel. "Double vector bundles and duality." Archivum Mathematicum 035.1 (1999): 59-95. <http://eudml.org/doc/248355>.

@article{Konieczna1999,
abstract = {The notions of the dual double vector bundle and the dual double vector bundle morphism are defined. Theorems on canonical isomorphisms are formulated and proved. Several examples are given.},
author = {Konieczna, Katarzyna, Urbański, Pawel},
journal = {Archivum Mathematicum},
keywords = {double vector bundles; duality; double vector bundles; duality},
language = {eng},
number = {1},
pages = {59-95},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Double vector bundles and duality},
url = {http://eudml.org/doc/248355},
volume = {035},
year = {1999},
}

TY - JOUR
AU - Konieczna, Katarzyna
AU - Urbański, Pawel
TI - Double vector bundles and duality
JO - Archivum Mathematicum
PY - 1999
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 035
IS - 1
SP - 59
EP - 95
AB - The notions of the dual double vector bundle and the dual double vector bundle morphism are defined. Theorems on canonical isomorphisms are formulated and proved. Several examples are given.
LA - eng
KW - double vector bundles; duality; double vector bundles; duality
UR - http://eudml.org/doc/248355
ER -

References

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  4. Représentation des jets non holonomes par des morphismes vectoriels doubles soudés, C. R. Acad. Sci. Paris, série A 278 (1974), 1523-1526. (1974) Zbl0285.58002MR0388432
  5. Geometric Formulations of Physical Theories, Bibliopolis, Napoli, 1989. (1989) Zbl0707.58001MR1026453
  6. Les sous-varieétés lagrangiennes et la dynamique lagrangienne, C. R. Acad. Sci. Paris, série A 283 (1976), 675-678. (1976) MR0420715
  7. Les sous-varieétés lagrangiennes et la dynamique hamiltonienne, C. R. Acad. Sci. Paris, série A 283 (1976), 15-18. (1976) MR0420714
  8. Double vector bundles in classical mechanics, Rend. Sem. Mat. Torino (1997). (1997) MR1618142
  9. Tangent and Cotangent Bundles, Marcel Dekker, Inc., New York, 1973. (1973) MR0350650

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