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On Sub-Riemannian and Riemannian Spaces Associated to a Lorentzian Manifold

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Current Trends in Analysis, its Applications and Computation

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Abstract

We present a certain construction of a sub-Riemannian and Riemannian spaces naturally associated to a Lorentzian manifold. Some additional structures and relations between geometric properties of the corresponding spaces will be explored. The emphasis will be on keeping the text as self-sufficient as possible while linking various well developed fields.

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Correspondence to Dimiter Vassilev .

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Sverdlov, R., Vassilev, D. (2022). On Sub-Riemannian and Riemannian Spaces Associated to a Lorentzian Manifold. In: Cerejeiras, P., Reissig, M., Sabadini, I., Toft, J. (eds) Current Trends in Analysis, its Applications and Computation. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-87502-2_51

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