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A Geometric Perspective on the Method of Descent

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Abstract

We derive a first order representation formula for the tensorial wave equation \({\Box_\mathbf{g} \phi^I=F^I}\) in globally hyperbolic Lorentzian spacetimes \({(\mathcal{M}^{2+1}, \mathbf{g})}\) by giving a geometric formulation of the method of descent which is applicable for any dimension.

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Authors and Affiliations

  1. Oxford PDE center, Mathematical Institute, University of Oxford, Oxford, OX2 6GG, UK

    Qian Wang

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  1. Qian Wang
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Correspondence to Qian Wang.

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Communicated by P. Chrusciel

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Wang, Q. A Geometric Perspective on the Method of Descent. Commun. Math. Phys. 360, 827–850 (2018). https://doi.org/10.1007/s00220-018-3151-7

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  • DOI: https://doi.org/10.1007/s00220-018-3151-7

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