Publication detail

Lagrangians on iterated tangent bundles and the Hamiltonization

KUREŠ, M.

Czech title

Lagrangiány na iterovaných tečných bandlech a hamiltonizace

English title

Lagrangians on iterated tangent bundles and the Hamiltonization

Type

journal article - other

Language

en

Original abstract

The structure of higher order iterated tangent bundles is studied. Canonical affinors and canonical vector fields on these bundles are geometrically described and differential operators are introduced. Furthermore, possibilities of a generalization of Lagrangian and Hamiltonian formalisms are investigated and a procedure of the Hamiltonization is demonstrated.

Czech abstract

Je studována struktura iterovaných tečných bandlů vyššího řádu. Jsou geometricky popsány kanonické afonry a kanonická vektorová pole a jsou zavedeny diferenciální operátory. Dále jsou demonstrovány možnosti zobecnění Lagrangeova a Hamiltonova formalismu, především pak proces hamiltonizace.

English abstract

The structure of higher order iterated tangent bundles is studied. Canonical affinors and canonical vector fields on these bundles are geometrically described and differential operators are introduced. Furthermore, possibilities of a generalization of Lagrangian and Hamiltonian formalisms are investigated and a procedure of the Hamiltonization is demonstrated.

Keywords in Czech

iterovaný tečný bandl, neholonomní jet, hamiltonizace

Keywords in English

iterated tangent bundle, nonholonomic jet, Hamiltonization

RIV year

2013

Released

04.12.2013

Publisher

Institute of Mathematics, University of Miskolc

Location

Miskolc

ISSN

1787-2405

Volume

14

Number

2

Pages from–to

525–538

Pages count

14

BIBTEX


@article{BUT103289,
  author="Miroslav {Kureš},
  title="Lagrangians on iterated tangent bundles and the Hamiltonization",
  year="2013",
  volume="14",
  number="2",
  month="December",
  pages="525--538",
  publisher="Institute of Mathematics, University of Miskolc",
  address="Miskolc",
  issn="1787-2405"
}