6 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…
A note on tractor bundles and codimension two spacelike immersions
Rodrigo Morón
We study conformal tractor bundles from an extrinsic viewpoint, relating them to codimension two spacelike immersions into Lorentzian manifolds. We show that, at least locally, eve…
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 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…
Normal tractor conformal bundles and codimension two spacelike submanifolds in Lorentzian manifolds
Rodrigo Morón, Francisco J. Palomo
For every codimension two spacelike submanifold of a Lorentz manifold and each choice of a normal lightlike vector field, we introduce a canonical way to construct a tractor confor…
Codimension two spacelike submanifolds in Lorentzian manifolds and conformal structures
Rodrigo Morón, Francisco J. Palomo
Starting from a Riemannian conformal structure on a manifold M, we provide a method to construct a family of Lorentzian manifolds. The construction relies on the choice of a metric…