Research partially supported by NSF Grant MCS 78-26216
Preview
Unable to display preview. Download preview PDF.
References
Kalnins, E.G. and Miller, W. Jr., Killing tensors and variable separation for Hamilton-Jacobi and Helmholtz equations, SIAM J. Math. Anal. (to appear.)
Kalnins, E.G. and Miller, W. Jr., Killing tensors and nonorthogonal variable separation for Hamilton-Jacobi and Helmholtz equations, SIAM J. Math. Anal. (to appear).
Arnold, V.I., “Mathematical Methods of Classical Mechanics”, Springer Verlag, New York, 1978.
Boyer, C., Kalnins, E.G. and Miller, W. Jr., Commun. Math. Phys. 59, 285–302 (1978).
Benenti, S. and Francaviglia, M., The theory of separability of the Hamilton-Jacobi equation and its application to general relativity, in “General Relativity and Gravitation, Vol. 1”, A Held, ed., Plenum, New York, 1980.
Levi-Civita, T., Math. Ann. 59, 383–397 (1904).
Kalnins, E.G. and Miller, W. Jr., Separable coordinates for three-dimensional complex Riemannian spaces, J. Diff. Geometry (1979)
Kalnins, E.G. and Miller, W. Jr., J. Phys. A: Math. Gen., 12, 1129–1147 (1979).
Benenti, S., Separability structures on Riemannian manifolds, Proceedings of “Conference on Differential Geometrical Methods in Mathematical Physics”, Salamanca 1979, Springer-Verlag (to appear).
Eisenhart, L.P., “Riemannian Geometry”, Princeton University Press, Princeton (2nd printing), 1949.
Miller, W. Jr., Patera, G. and Winternitz, P., Subgroups of Lie groups and separation of variables, J. Math. Phys., (to appear).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1980 Springer-Verlag
About this paper
Cite this paper
Miller, W. (1980). Killing tensors and variable separation for Hamilton-Jacobi equations. In: Wolf, K.B. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 135. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-10271-X_327
Download citation
DOI: https://doi.org/10.1007/3-540-10271-X_327
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10271-7
Online ISBN: 978-3-540-38396-3
eBook Packages: Springer Book Archive