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- W3090555650 abstract "Let $Sigma$ be a Riemannian manifold with strictly convex spherical boundary. Assuming absence of conjugate points and that the trapped set is hyperbolic, we show that $Sigma$ can be isometrically embedded into a closed Riemannian manifold with Anosov geodesic flow. We use this embedding to provide a direct link between the classical Livshits theorem for Anosov flows and the Livshits theorem for the X-ray transform which appears in the boundary rigidity program. Also, we give an application for lens rigidity in a conformal class." @default.
- W3090555650 created "2020-10-08" @default.
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- W3090555650 date "2020-09-28" @default.
- W3090555650 modified "2023-09-26" @default.
- W3090555650 title "Riemannian Anosov extension and applications" @default.
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- W3090555650 doi "https://doi.org/10.48550/arxiv.2009.13665" @default.
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