Classical and relativistic vorticity in a semi-Riemannian manifold
- 1 July 1978
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 19 (7) , 1532-1535
- https://doi.org/10.1063/1.523861
Abstract
It is shown that a form of the Cauchy–Lagrange formula for the evolution of vorticity in a barotropic flow generalizes to the case of ideal fluid motion on higher‐dimensional Riemannian or semi‐Riemannian manifolds.Keywords
This publication has 4 references indexed in Scilit:
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- The Lie derivative of the vorticity vector in an isometric flowJournal of Physics A: General Physics, 1975
- Isometric motion in relativistic magnetohydrodynamicsPhysics Letters A, 1972
- Groups of Diffeomorphisms and the Motion of an Incompressible FluidAnnals of Mathematics, 1970