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5 papers · 2 filters
Pseudo focal points along Lorentzian geodesics and Morse index
Miguel Angel Javaloyes, Antonio Masiello, Paolo Piccione
Given a Lorentzian manifold , a geodesic in and a timelike Jacobi field along , we introduce a special class of instants along that we call $\mat…
Hypersurfaces in H^{n+1} and conformally invariant equations: the generalized Christoffel and Nirenberg problems
J. M. Espinar, J. A. Galvez, P. Mira
Our first objective in this paper is to give a natural formulation of the Christoffel problem for hypersurfaces in , by means of the hyperbolic Gauss map and the notion of…
Complete surfaces with positive extrinsic curvature in product spaces
Jose M. Espinar, Jose A. Galvez, Harold Rosenberg
We prove that every complete connected immersed surface with positive extrinsic curvature in must be properly embedded, homeomorphic to a sphere or a plane and, i…
Parabolic surfaces in hyperbolic space with constant curvature
Rafael López
We study parabolic linear Weingarten surfaces in hyperbolic space $\rlopezh^3$. In particular, we classify two family of parabolic surfaces: surfaces with constant Gaussian curvatu…
On the energy functional on Finsler manifolds and applications to stationary spacetimes
Erasmo Caponio, Miguel Angel Javaloyes, Antonio Masiello
In this paper we first study some global properties of the energy functional on a non-reversible Finsler manifold. In particular we present a fully detailed proof of the Palais--Sm…