On the regularity of null cones and geodesic spheres

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Abstract

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.

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Gutiérrez, M., Olea, B. On the regularity of null cones and geodesic spheres. Anal.Math.Phys. 13, 30 (2023). https://doi.org/10.1007/s13324-023-00791-0

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Except where otherwised noted, this item's license is described as Atribución 4.0 Internacional