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Volume growth and puncture repair in conformal geometry

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Abstract Suppose M is a compact Riemannian manifold and p ∈ M an arbitrary point. We employ estimates on the volume growth around p to prove that the only conformal… Click to show full abstract

Abstract Suppose M is a compact Riemannian manifold and p ∈ M an arbitrary point. We employ estimates on the volume growth around p to prove that the only conformal compactification of M ∖ { p } is M itself.

Keywords: puncture repair; volume growth; geometry; growth puncture

Journal Title: Journal of Geometry and Physics
Year Published: 2018

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