Differential geometric aspects of causal structures and related geometries

The light cone structure of spacetime encodes its causal properties. In this talk, we broaden  light cone structures by not assuming that they arise from Lorentzian metrics. After motivating and defining relevant geometric structures, I will give a non-technical survey of some new results on the local differential geometric properties of such cone structures and compare them with the well-known conformal geometry of Lorentzian metrics.

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