The general relativistic and covariant form of the I. Helmholtz vorticity theorem and geophysical application

Schröder, W. and Treder, H.-J. (2001) The general relativistic and covariant form of the I. Helmholtz vorticity theorem and geophysical application. Acta Geodaetica et Geophysica Hungarica, 36 (4). pp. 471-476. ISSN 1217-8977

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Abstract

The general relativistic and covariant differential form of Helmholtz's first vorticity theorem is presented. We prove in relation with it an invariant kinematic identity which is the generalisation of the Helmholtz theorem for general continua.

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