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C-Flows on a Lie Group for Euler Equations

Published online by Cambridge University Press:  22 January 2016

Yoshihei Hasegawa
Yoshihei Hasegawa*
Affiliation:
Mathematical Institute, Nagoya University
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The purpose of this paper is to determine left-invariant vector fields on a Lie group G with a left-invariant Riemannian metric which induces C- flows on G.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 40 , December 1970 , pp. 67 - 84
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1970

References

[1] Arnol’d, V.I.: Sur la géométrie differentielle des groupes de Lie de dimension infinié et ses applications à l’hydrodynamique des fluides parfaits, Ann. Inst. Fourier (1966) XVI. (1) p. 319–363.CrossRefGoogle Scholar
[2] Avez, V.I. Aronl’d-A.: Problémes ergodiques de la mécanique classique. Gauthier-Villars. Paris (1967).Google Scholar
[3] Whittaker, E.T.: A treatise on the analytical dynamics of particles and rigid bodies. Cambridge. (1952).Google Scholar