Far East Journal of Dynamical Systems

The Far East Journal of Dynamical Systems publishes original research papers and survey articles in all aspects of dynamical systems, including chaos, fractals, and ergodic theory. It encourages application-oriented research in physics, life sciences, and social sciences.

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A NOTE ON ISOMORPHISMS BETWEEN GROUPS OF DIFFEOMORPHISMS OF COSYMPLECTIC MANIFOLDS

Authors

  • Ange Maloko Mavambou
  • Servais Cyr Gatsé

Keywords:

automorphism of geometric structure, group of diffeomorphisms, isomorphism of groups.

DOI:

https://doi.org/10.17654/0972111822006

Abstract

Given a cosymplectic structure $(\eta, \Omega)$ on a manifold $M$, we study its $\mathcal{C}^r$-diffeomorphisms $(0<r<\infty)$, on which the infinitesimal vector fields preserve $\eta$ and $\Omega$.

Received: May 25, 2022 
Accepted: June 27, 2022

References

A. M. Mavambou and S. C. Gatsé, Some remarks on almost cosymplectic manifolds, in preparation.

A. Banyaga, On isomorphic classical diffeomorphism groups. II, J. Differential Geom. 28 (1988), 23-35.

S. C. Gatsé, Hamiltonian vector field on locally conformally symplectic manifold, Int. Math. Forum 19(11) (2016), 933-941.

http://dx.doi.org/10.12988/imf.2016.6666.

L. E. Pursell and M. E. Shanks, The Lie algebra of a smooth manifold, Proc. Amer. Math. Soc. 5 (1954), 468-472.

R. P. Filipkiewicz, Isomorphism between diffeomorphism groups, Ergodic Theory Dynamical Systems 2 (1982), 159-171.

T. Rybicki, Isomorphisms between groups of diffeomorphisms, Proceedings of the American Mathematical Society 123(1) (1995), 303-310.

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Published

2022-07-29

Issue

Vol. 35 (2022)

Section

Articles

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How to Cite

A NOTE ON ISOMORPHISMS BETWEEN GROUPS OF DIFFEOMORPHISMS OF COSYMPLECTIC MANIFOLDS. (2022). Far East Journal of Dynamical Systems, 35, 1-6. https://doi.org/10.17654/0972111822006