We study a class of time functions called uniform temporal functions in the general context of globally hyperbolic closed cone fields. We prove some existence results for uniform temporal functions, and prove the density of uniform temporal functions in Cauchy causal functions.Nous étudions une classe de fonctions temps, appelées fonctions temporales uniformes, adans le contexte général d'un champ de cone fermé globalement hyperbolique. Nous prouvons des résultats d'existence pour ces fonctions temporales uniformes, et nous prouvons la densité des fonctions temporales uniformes dans les fonctions causales de Cauchy
Two separate groups of results are considered. First, the concept of causal completeness first defin...
87 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2005.Let Yt be a rotationally invar...
Let be a time-oriented Lorentzian manifold and d the Lorentzian distance on M. The function is the...
The purpose of this article is to present a result on the existence of Cauchy temporal functions inv...
In this thesis we're interested in globally hyperbolic Cauchy compact space-times. These are space-t...
We show differentiability of a class of Geroch's volume functions on globally hyperbolic manifolds. ...
In globally hyperbolic space-times there is a finite upper bound on the proper time lengths of nonsp...
International audienceWe are concerned with the existence of smooth time functions on connected time...
Dans cette thèse, nous nous intéressons aux espaces temps dit globalement hyperboliques Cauchy compa...
This paper gives a new proof that maximal, globally hyperbolic, flat spacetimes of dimension $n\geq ...
The notion of uniform hyperbolicity, introduced by Steve Smale in the early sixties, unified importa...
The folk questions in Lorentzian Geometry, which concerns the smoothness of time functions and slici...
In order to apply variational methods to the action functional for geodesics of a stationary spaceti...
To appear in Indiana University Mathematics JournalWe study regularity properties enjoyed by a class...
45 pagesThis paper continues the investigation of constant mean curvature (CMC) time functions in ma...
Two separate groups of results are considered. First, the concept of causal completeness first defin...
87 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2005.Let Yt be a rotationally invar...
Let be a time-oriented Lorentzian manifold and d the Lorentzian distance on M. The function is the...
The purpose of this article is to present a result on the existence of Cauchy temporal functions inv...
In this thesis we're interested in globally hyperbolic Cauchy compact space-times. These are space-t...
We show differentiability of a class of Geroch's volume functions on globally hyperbolic manifolds. ...
In globally hyperbolic space-times there is a finite upper bound on the proper time lengths of nonsp...
International audienceWe are concerned with the existence of smooth time functions on connected time...
Dans cette thèse, nous nous intéressons aux espaces temps dit globalement hyperboliques Cauchy compa...
This paper gives a new proof that maximal, globally hyperbolic, flat spacetimes of dimension $n\geq ...
The notion of uniform hyperbolicity, introduced by Steve Smale in the early sixties, unified importa...
The folk questions in Lorentzian Geometry, which concerns the smoothness of time functions and slici...
In order to apply variational methods to the action functional for geodesics of a stationary spaceti...
To appear in Indiana University Mathematics JournalWe study regularity properties enjoyed by a class...
45 pagesThis paper continues the investigation of constant mean curvature (CMC) time functions in ma...
Two separate groups of results are considered. First, the concept of causal completeness first defin...
87 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2005.Let Yt be a rotationally invar...
Let be a time-oriented Lorentzian manifold and d the Lorentzian distance on M. The function is the...