4 papers
A Cartan geometry from a correspondence space in Riemannian geometry
Rodrigo Morón, Francisco J. Palomo
Cartan geometries are curved analogues of homogeneous spaces, and the correspondence space construction produces, from a Cartan geometry of one type, another of a different type ov…
Cartan geometries with model the future lightlike cone of Lorentz-Minkowski spacetime
Rodrigo Morón, Francisco J. Palomo
This paper develops the theory of Cartan geometries modeled on the future lightlike cone of Lorentz Minkowski spacetime, which we refer to as lightlike Cartan geometries. We show t…
Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone
Francisco J. Palomo, Alfonso Romero
A general integral inequality is established for compact spacelike submanifolds of codimension two in the Lorentz-Minkowski spacetime under the assumption that the mean curvature v…
Spacelike immersions in certain Lorentzian manifolds with lightlike foliations
Rodrigo Morón, Francisco J. Palomo
The generalized Schwarzschild spacetimes are introduced as warped manifolds where the base is an open subset of equipped with a Lorentzian metric and the fiber is a…