Result: A geometric approach to the classification of the equilibrium shapes of self-gravitating fluids
Title:
A geometric approach to the classification of the equilibrium shapes of self-gravitating fluids
Authors:
Source:
Communications in mathematical physics. 267(1):93-115
Publisher Information:
Heidelberg: Springer, 2006.
Publication Year:
2006
Physical Description:
print, 65 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Géométrie, Geometry, Géométrie différentielle, Differential geometry, Topologie. Variétés et complexes cellulaires. Analyse globale et analyse sur variétés, Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds, Analyse globale, analyse sur des variétés, Global analysis, analysis on manifolds, Physique, Physics, Generalites, General, Relativité générale et gravitation, General relativity and gravitation, Systèmes autogravitants; milieux continus et champs classiques en espace-temps courbe, Self-graviting systems; continuous media and classical fields in curved spacetime, Classification, Espace Riemann, Riemann space, Etude générale, General study, Estudio general, Forme équilibre, Equilibrium shape, Forma equilibrio, Isométrie, Isometry, Isometría, Physique mathématique, Mathematical physics, Sous variété, Submanifold, Subvariedad, Variété Riemann, Riemann manifold, Variedad Riemann, Existence, Fluide autogravitation, Self gravitating fluid
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, Michigan 48109-1043, United States
Departamento de Fisica Teónca II, Universidad Complutense, 28040 Madrid, Spain
Departamento de Fisica Teónca II, Universidad Complutense, 28040 Madrid, Spain
ISSN:
0010-3616
Rights:
Copyright 2006 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Theoretical physics
Theoretical physics
Accession Number:
edscal.18088047
Database:
PASCAL Archive
Further Information
The classification of the equilibrium shapes that a self-gravitating fluid can take in a Riemannian manifold is a classical problem in Mathematical Physics. In this paper it is proved that the equilibrium shapes are isoparametric submanifolds. Some geometric properties of them are also obtained, e.g. classification and existence for some Riemannian spaces and relationship with the isoperimetric problem and the group of isometries of the manifold. Our approach to the problem is geometrical and allows to study the equilibrium shapes on general Riemannian spaces.