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  • 1
    Electronic Resource
    Electronic Resource
    Induced volume forms with applications in relativistic kinetic theory (1985)
    Springer
    General relativity and gravitation 17 (1985), S. 831-851 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Covariant volume forms are defined in an intrinsic way on a general submanifold of aC ∞ manifold carrying a nondegenerate metric of unspecified signature. The case of covariant volume forms induced on hypersurfaces, null and nonnull, is examined in detail. The results obtained are applied to the various submanifolds of the one-particle phase space of relativistic kinetic theory. Finally a proof of Liouville's theorem is given and its consequences on the Liouville vector are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00773681
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