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arXiv · 1502.06537

Q-curvature of Weyl structures and Poincar\'e metrics

Kengo Hirachi·Christian Lübbe·Yoshihiko Matsumoto
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Abstract

We study an asymptotic Dirichlet problem for Weyl structures on asymptotically hyperbolic manifolds. By the bulk-boundary correspondence, or more precisely by the Fefferman-Graham theorem on Poincar\'e metrics, this leads to a natural extension of the notion of Branson's $Q$-curvature to Weyl structures on even-dimensional conformal manifolds.

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Kengo Hirachi, Christian Lübbe, Yoshihiko Matsumoto. 2015-02-23. Q-curvature of Weyl structures and Poincar\'e metrics. https://arxiv.org/abs/1502.06537

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