Add to ORKGBochner's technique is shown to be useful on compact Lorentz manifolds. It is proved that all the compact Einstein Lorentz manifolds admitting a timelike Killing vector field have non-positive scalar curvature, and the flat ones are (up to a covering) those isometric to a Lorentzian «-torus. Thus several results by Kamishima [4] are widely extended. Other classification results, including applications to the homogeneous case and non-existence consequences, are obtained. 1
We study the geometry and the periodic geodesics of a compact Lorentzian manifold that has a Killing...
Using the new dieomorphism invariants of Seiberg and Witten, a uniqueness theorem is proved for Eins...
ABSTRACT. In this article, we generalize the classical Bochner-Weitzenböck theorem for manifolds sat...
We consider the problem of determining which conditions are necessary for cobordisms to admit Lorent...
We consider Lorentzian manifolds with parallel light-like vector field V. Being parallel and light-l...
We consider (compact or noncompact) Lorentzian manifolds whose holonomy group has compact closure. T...
In the first part of this thesis, we give a description of simply connected maximal Lorentzian surfa...
Abstract. Assuming minimal regularity assumptions on the data, we revisit the classical problem of f...
Let M be a differentiable manifold. If M has a Lorentzian metric g, that is, a symmetric nondegenera...
Recently discovered examples of Lorentz manifolds have renewed interest in the field among group the...
The authors prove that a compact Riemannian manifold $M$ of positive sectional curvature whose Ricci...
In this paper we develop general Minkowski-type formulae for compact spacelike hypersurfaces immerse...
summary:A new class of $(n+1)$-dimensional Lorentz spaces of index $1$ is introduced which satisfies...
Assuming minimal regularity assumptions on the data, we revisit the classical problem of finding iso...
We give a complete local classification of all Riemannian 3-manifolds (Formula presented.) admitting...
We study the geometry and the periodic geodesics of a compact Lorentzian manifold that has a Killing...
Using the new dieomorphism invariants of Seiberg and Witten, a uniqueness theorem is proved for Eins...
ABSTRACT. In this article, we generalize the classical Bochner-Weitzenböck theorem for manifolds sat...
We consider the problem of determining which conditions are necessary for cobordisms to admit Lorent...
We consider Lorentzian manifolds with parallel light-like vector field V. Being parallel and light-l...
We consider (compact or noncompact) Lorentzian manifolds whose holonomy group has compact closure. T...
In the first part of this thesis, we give a description of simply connected maximal Lorentzian surfa...
Abstract. Assuming minimal regularity assumptions on the data, we revisit the classical problem of f...
Let M be a differentiable manifold. If M has a Lorentzian metric g, that is, a symmetric nondegenera...
Recently discovered examples of Lorentz manifolds have renewed interest in the field among group the...
The authors prove that a compact Riemannian manifold $M$ of positive sectional curvature whose Ricci...
In this paper we develop general Minkowski-type formulae for compact spacelike hypersurfaces immerse...
summary:A new class of $(n+1)$-dimensional Lorentz spaces of index $1$ is introduced which satisfies...
Assuming minimal regularity assumptions on the data, we revisit the classical problem of finding iso...
We give a complete local classification of all Riemannian 3-manifolds (Formula presented.) admitting...
We study the geometry and the periodic geodesics of a compact Lorentzian manifold that has a Killing...
Using the new dieomorphism invariants of Seiberg and Witten, a uniqueness theorem is proved for Eins...
ABSTRACT. In this article, we generalize the classical Bochner-Weitzenböck theorem for manifolds sat...