Geometry of manifolds which admit conservation laws
نویسندگان
چکیده
منابع مشابه
3-manifolds Which Admit Finite Group Actions
We prove several results which support the following conjectures: (1) Any smooth action of a finite group on a geometric 3-manifold can be conjugated to preserve the geometric structure. (2) Every irreducible closed 3-manifold M with infinite nx(M) is finitely covered by a Haken 3-manifold.
متن کاملFour-manifolds which admit Zp ×Zp actions
We show that the simply-connected four-manifolds which admit locally linear, homologically trivial Zp ×Zp actions are homeomorphic to connected sums of ±CP 2 and S × S (with one exception: pseudofree Z3 × Z3 actions on the Chern manifold), and also establish an equivariant decomposition theorem. This generalizes results from a 1970 paper by Orlik and Raymond about torus actions, and complements...
متن کاملWhich Riemannian manifolds admit a geodesic flow of Anosov type?∗
In 1961 Steve Smale visited the Soviet Union and made several conjectures on the structural stability of certain toral automorphisms and geodesic flows of negative curvature. A year later D. V. Anosov proved all of Smale’s conjectures; his results about geodesic flows of manifolds with strictly negative sectional curvature can be found in his paper [1]. In this paper we will describe several ge...
متن کاملConservation Laws: Transonic Flow and Differential Geometry
The connection between gas dynamics and differential geometry is discussed. Some history of boundary value problems for systems of conservation laws is first given. Then the mathematical formulation of compressible gas dynamics, especially the subsonic and transonic flows past an obstacle (such as an airfoil), is provided. Some recent results on transonic flow from viscous approximation and com...
متن کاملWell-posedness Theory for Geometry Compatible Hyperbolic Conservation Laws on Manifolds
Motivated by many applications (geophysical flows, general relativity), we attempt to set the foundations for a study of entropy solutions to nonlinear hyperbolic conservation laws posed on a (Riemannian or Lorentzian) manifold. The flux of the conservation laws is viewed as a vector-field on the manifold and depends on the unknown function as a parameter. We introduce notions of entropy soluti...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 1971
ISSN: 0373-0956
DOI: 10.5802/aif.359