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math.DG2022
On Lie semiheaps and ternary principal bundles
Andrew James Bruce
We introduce the notion of a Lie semiheap as a smooth manifold equipped with a para-associative ternary product. For a particular class of Lie semiheaps we establish the existence…
math.DG2022★ 2 cited
On the bundle of null cones
Andrew James Bruce
We examine the bundle structure of the field of nowhere vanishing null vector fields on a (time-oriented) Lorentzian manifold. Sections of what we refer to as the null tangent, are…