Induced volume forms with applications in relativistic kinetic theory
type: Item
instance of: scholarly article
title: Induced volume forms with applications in relativistic kinetic theory
zbMATH Open document ID: 0564.53012
DOI: 10.1007/BF00773681
published in: General Relativity and Gravitation
publication date: 1985-01-01T00:00:00Z
review text: Covariant volume forms are defined in an intrinsic way on a general submanifold of a \(C^{\infty}\) 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.
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 53C65
Mathematics Subject Classification ID: 83C55
zbMATH DE Number: 3899680
zbMATH Keywords: volume forms
zbMATH Keywords: submanifold
zbMATH Keywords: nondegenerate metric
zbMATH Keywords: relativistic kinetic theory
zbMATH Keywords: Liouville's theorem
author: Michael Tsamparlis
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3899680