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math.DG2013★ 33 cited
A regularisation approach to causality theory for -Lorentzian metrics
Michael Kunzinger, Roland Steinbauer, James A. Vickers +1
We show that many standard results of Lorentzian causality theory remain valid if the regularity of the metric is reduced to . Our approach is based on regularisations of…
math.DG2013★ 12 cited
The exponential map of a -metric
Michael Kunzinger, Roland Steinbauer, Milena Stojkovic
Given a pseudo-Riemannian metric of regularity on a smooth manifold, we prove that the corresponding exponential map is a bi-Lipschitz homeomorphism locally around any po…