Detail publikačního výsledku

Natural operations of Hamiltonian type on the cotangent bundle

DOUPOVEC, M., KUREK, J.

Original Title

Natural operations of Hamiltonian type on the cotangent bundle

English Title

Natural operations of Hamiltonian type on the cotangent bundle

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

We study some geometrical constructions of Hamiltonian type on the cotangent bundle. In particular, we shall deal with constructions of vector fields by means of functions, of functions by means of pairs of functions and of 1-forms by means of pairs of 1-forms. All geometrical constructions are considered as natural operators and there is given the full classification in some particular cases.

English abstract

We study some geometrical constructions of Hamiltonian type on the cotangent bundle. In particular, we shall deal with constructions of vector fields by means of functions, of functions by means of pairs of functions and of 1-forms by means of pairs of 1-forms. All geometrical constructions are considered as natural operators and there is given the full classification in some particular cases.

Keywords

natural operator, cotangent bundle, Hamiltonian vector field

Key words in English

natural operator, cotangent bundle, Hamiltonian vector field

Authors

DOUPOVEC, M., KUREK, J.

Released

01.01.1997

Edition

1

ISBN

0009-725X

Periodical

Rendiconti del Circolo Matematico di Palermo

Volume

46

Number

Serie II

State

Republic of Italy

Pages from

81

Pages count

6

Full text in the Digital Library

http://hdl.handle.net/

BibTex

@article{BUT38698,
  author="Miroslav {Doupovec} and Jaroslav {Kurek}",
  title="Natural operations of Hamiltonian type on the cotangent bundle",
  journal="Rendiconti del Circolo Matematico di Palermo",
  year="1997",
  volume="46",
  number="Serie II",
  pages="6",
  issn="0009-725X"
}