Locally conformal cosymplectic manifolds and time-dependent Hamiltonian systems

Domingo Chinea; Manuel de León; Juan C. Marrero

Commentationes Mathematicae Universitatis Carolinae (1991)

  • Volume: 32, Issue: 2, page 383-387
  • ISSN: 0010-2628

Abstract

top
We show that locally conformal cosymplectic manifolds may be seen as generalized phase spaces of time-dependent Hamiltonian systems. Thus we extend the results of I. Vaisman for the time-dependent case.

How to cite

top

Chinea, Domingo, León, Manuel de, and Marrero, Juan C.. "Locally conformal cosymplectic manifolds and time-dependent Hamiltonian systems." Commentationes Mathematicae Universitatis Carolinae 32.2 (1991): 383-387. <http://eudml.org/doc/247250>.

@article{Chinea1991,
abstract = {We show that locally conformal cosymplectic manifolds may be seen as generalized phase spaces of time-dependent Hamiltonian systems. Thus we extend the results of I. Vaisman for the time-dependent case.},
author = {Chinea, Domingo, León, Manuel de, Marrero, Juan C.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {cosymplectic manifold; locally conformal cosymplectic manifold; Hamiltonian systems; Lee form; Reeb vector field; Hamiltonian vector field},
language = {eng},
number = {2},
pages = {383-387},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Locally conformal cosymplectic manifolds and time-dependent Hamiltonian systems},
url = {http://eudml.org/doc/247250},
volume = {32},
year = {1991},
}

TY - JOUR
AU - Chinea, Domingo
AU - León, Manuel de
AU - Marrero, Juan C.
TI - Locally conformal cosymplectic manifolds and time-dependent Hamiltonian systems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 2
SP - 383
EP - 387
AB - We show that locally conformal cosymplectic manifolds may be seen as generalized phase spaces of time-dependent Hamiltonian systems. Thus we extend the results of I. Vaisman for the time-dependent case.
LA - eng
KW - cosymplectic manifold; locally conformal cosymplectic manifold; Hamiltonian systems; Lee form; Reeb vector field; Hamiltonian vector field
UR - http://eudml.org/doc/247250
ER -

References

top
  1. Abraham R., Marsden J., Foundations of Mechanics, ed., Benjamin, New York, 1978. Zbl0393.70001MR0515141
  2. Chinea D., Marrero J.C., Locally conformal cosymplectic manifolds, preprint. Zbl0748.53016
  3. Libermann P., Sur les structures presque complexes et autres structures infinitésimales régulières, Bull. Soc. Math. France 83 (1955), 195-224. (1955) MR0079766
  4. Libermann P., Marle Ch., Symplectic Geometry and Analytical Mechanics, Reidel Publ., Dordrecht, 1987. Zbl0643.53002MR0882548
  5. de León M., Rodrigues P., Methods of Differential Geometry in Analytical Mechanics, NorthHolland Mathematical Studies No. 158, Amsterdam, 1989. 
  6. Takizawa S., On contact structures of real and complex manifolds, Tôhoku Math. J. 15 (1963), 227-252. (1963) Zbl0122.40704MR0157331
  7. Vaisman I, Locally conformal symplectic manifolds, Internat. J. Math. & Math. Sci. 8, 3 (1985), 521-536. (1985) Zbl0585.53030MR0809073

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.