Infinitely many spacelike periodic trajectories on a class of Lorentz manifolds
Injectivity radius and optimal regularity of Lorentzian manifolds with bounded curvature
We review recent work on the local geometry and optimal regularity of Lorentzian manifolds with bounded curvature. Our main results provide an estimate of the injectivity radius of an observer, and a local canonical foliations by CMC (Constant Mean Curvature) hypersurfaces, together with spatially harmonic coordinates. In contrast with earlier results based on a global bound for derivatives of the curvature, our method requires only a sup-norm bound on the curvature near the given observer.
Integral formulas for closed spacelike hypersurfaces in anti-de Sitter space
In this paper, we study closed -maximal spacelike hypersurfaces in anti-de Sitter space with two distinct principal curvatures and give some integral formulas about these hypersurfaces.
Integral formulas for compact spacelike n-submanifolds in de Sitter spaces Applications to the parallel mean curvature vector case.
Integral Inequalities for Maximal Space-like Submanifolds in the Indefinite Space Form
Integral inequalities for maximal space-like submanifolds in the indefinite space form.
Intertwinors on functions over the product of spheres.
Isometric Immersions of Lorentzian Space Forms.
Isometry groups of Lorentz manifolds.
Isotropic sections and curvature properties of hyperbolic Kaehlerian manifolds.