Registered users receive a variety of benefits including the ability to customize email alerts, create favorite journals list, and save searches.
Please note that a Project Euclid web account does not automatically grant access to full-text content. An institutional or society member subscription is required to view non-Open Access content.
Contact firstname.lastname@example.org with any questions.
In this paper, the method of vanishing viscosity described by Evans  is used to prove, the existence and uniqueness theorems for the viscosity solution of the Vlasov equation in the presence of a Yang-Mills field in temporal gauge. Such equation governs the evolution without collisions of plasmas, for instance of quarks and gluons (quagmas), where non Abelian gauge fields and Yang-Mills charges replace the usual electromagnetic field and electric charges.
In this paper, we give the Cartan's formula for half-lightlike submanifolds of Lorentzian manifolds and use it to show that a screen homothetic half-lightlike submanifold of a Lorentzian space form, with a closed conformal co-screen distribution is locally a lightlike triple product manifold. Then we give a classification theorem for half-lightlike submanifolds of Lorentzian space form with constant screen principal curvatures. These results extend some ones obtained in the case of lightlike hypersurfaces of Lorentzian manifolds.
We study the intersection of closed geodesics in hyperbolic surfaces which admits a particular pair of pants decomposition. We prove under some assumptions that the angle of intersection is bounded from below and the length of closed geodesic is bounded from above.
PURCHASE SINGLE ARTICLE
This article is only available to subscribers. It is not available for individual sale.