Listar por autor "Olea-Andrades, Benjamín"
Mostrando ítems 1-4 de 4
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A Curvature Inequality Characterizing Totally Geodesic Null Hypersurfaces
Olea-Andrades, Benjamín
(Springer, 2023)
A well-known application of the Raychaudhuri equation shows that, under geodesic completeness, totally geodesic null hypersurfaces are unique which satisfy that the Ricci curvature is nonnegative in the null direction. ... -
Lorentzian Metrics Null-Projectively Related to Semi-Riemannian Metrics
Olea-Andrades, Benjamín; Palomo-Ruiz, Francisco José (Springer Nature, 2022-12-19)
We say that a Lorentzian metric and a semi-Riemannian metric on the same manifold M are null-projectively related if every null geodesic of the Lorentzian metric is an unparametrized geodesic of the semi-Riemannian one. ... -
On the regularity of null cones and geodesic spheres
Gutiérrez-López, Manuel; Olea-Andrades, Benjamín (Springer, 2023)
We show a property on the null cones in a Lorentzian manifold near a conjugate point, which contributes to the understanding of the behaviour of the exponential map. We also give an analogous property in the Riemannian case. -
Statistical structures arising in null submanifolds
Meli, Calvin B.; Ngakeu, Ferdinand; Olea-Andrades, Benjamín (Elsevier, 2022-12-22)
We show a link between affine differential geometry and null submanifolds in a semi-Riemannian manifold via statistical structures. Once a rigging for a null submanifold is fixed, we can construct a semi-Riemannian metric ...