ListarMA - Artículos por tema "Rigging technique"
Mostrando ítems 1-4 de 4
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A Curvature Inequality Characterizing Totally Geodesic Null Hypersurfaces
(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. ... -
Conformal Vector Fields and Null Hypersurfaces
(Springer, 2022-05-03)We give conditions for a conformal vector field to be tangent to a null hypersurface. We particularize to two important cases: a Killing vector field and a closed and conformal vector field. In the first case, we obtain a ... -
On the regularity of null cones and geodesic spheres
(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
(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 ...