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Euler equations on a semi-direct product of the diffeomorphisms group by itself
Killing's equations for invariant metrics on Lie groups
1. | Grand Valley State University, 1 Campus Dr., Allendale, MI 49401, United States |
2. | The University of Toledo, 2801 W Bancroft St., Toledo, OH 43606, United States |
References:
[1] |
R. Ghanam, I. Strugar and G. Thompson, Matrix representations for low dimensional Lie algebras, Extracta Mathematica, 20 (2005), 151-184. |
[2] |
W. H. Greub, "Linear Algebra," 4th edition, Gradaute Texts in Mathematics, No. 23, Springer-Verlag, New York-Berlin, 1975. |
[3] |
J. Milnor, Curvatures of left invariant metrics on Lie groups, Advances in Math., 21 (1976), 293-329.
doi: 10.1016/S0001-8708(76)80002-3. |
[4] |
J. Patera, R. T. Sharp, P. Winternitz and H. Zassenhaus, Invariants of real low dimension Lie algebras, J. Math. Phys., 17 (1976), 986-994.
doi: 10.1063/1.522992. |
show all references
References:
[1] |
R. Ghanam, I. Strugar and G. Thompson, Matrix representations for low dimensional Lie algebras, Extracta Mathematica, 20 (2005), 151-184. |
[2] |
W. H. Greub, "Linear Algebra," 4th edition, Gradaute Texts in Mathematics, No. 23, Springer-Verlag, New York-Berlin, 1975. |
[3] |
J. Milnor, Curvatures of left invariant metrics on Lie groups, Advances in Math., 21 (1976), 293-329.
doi: 10.1016/S0001-8708(76)80002-3. |
[4] |
J. Patera, R. T. Sharp, P. Winternitz and H. Zassenhaus, Invariants of real low dimension Lie algebras, J. Math. Phys., 17 (1976), 986-994.
doi: 10.1063/1.522992. |
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