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arXiv · 1410.2032

Conformal Killing vector fields and a virial theorem

José F. Cariñena·Irina Gheorghiu·Eduardo Martínez·Patrícia Santos
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Abstract

The virial theorem is formulated both intrinsically and in local coordinates for a Lagrangian system of mechanical type on a Riemann manifold. An import case studied in this paper is that of an affine virial function associated to a vector field on the configuration manifold. The special cases of a virial function associated to a Killing, a homothetic and a conformal Killing vector field are considered and the corresponding virial theorems are established for this type of functions.

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José F. Cariñena, Irina Gheorghiu, Eduardo Martínez, Patrícia Santos. 2014-10-08. Conformal Killing vector fields and a virial theorem. https://doi.org/10.1088/1751-8113/47/46/465206

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