Rational R-matrices, centralizer algebras and tensor identities for e6 and e7 exceptional families of Lie algebras
We use Cvitanović's [Group Theory (Princeton University Press, Princeton, NJ, in press) (http://www.nbi.dk/GroupTheory/); Phys. Rev. D 14, 1536 (1976)] diagrammatic techniques to construct the ...
We use Cvitanović's [Group Theory (Princeton University Press, Princeton, NJ, in press) (http://www.nbi.dk/GroupTheory/); Phys. Rev. D 14, 1536 (1976)] diagrammatic techniques to construct the ...
Conditional Lie Bäcklund symmetries and solutions to (n+1)-dimensional nonlinear diffusion equations
This paper discusses a class of (n+1)-dimensional nonlinear diffusion equations with source term which arises in nonlinear shear flows of non-Newtonian fluids. It is shown that some radially symmetric...
This paper discusses a class of (n+1)-dimensional nonlinear diffusion equations with source term which arises in nonlinear shear flows of non-Newtonian fluids. It is shown that some radially symmetric...
Wave character of metrics and hyperbolic geometric flow
J. Math. Phys. 48, 103508 (2007); doi:10.1063/1.2795839
Published 17 October 2007
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In this paper, we illustrate the wave character of the metrics and curvatures of manifolds and introduce a new understanding tool—the hyperbolic geometric flow. This kind of flow is new and very natural to understand certain wave phenomena in the nature as well as the geometry of manifolds. It possesses many interesting properties from both mathematics and physics. Several applications of this method have been found.
©2007 American Institute of Physics
| History: | Received 24 July 2007; accepted 9 September 2007; published 17 October 2007 |
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http://link.aip.org/link/?JMAPAQ/48/103508/1 |
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