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arxiv: 1710.04512 · v2 · pith:T7IGZKDUnew · submitted 2017-10-12 · 🧮 math.DG · gr-qc

Wave and Dirac equations on manifolds

Lars Andersson , Christian Baer This is my paper
classification 🧮 math.DG gr-qc
keywords equationsdiracmanifoldsoperatorsresultswaveblack-holeclass
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We review some recent results on geometric equations on Lorentzian manifolds such as the wave and Dirac equations. This includes well-posedness and stability for various initial value problems, as well as results on the structure of these equations on black-hole spacetimes (in particular, on the Kerr solution), the index theorem for hyperbolic Dirac operators and properties of the class of Green-hyperbolic operators.

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