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arXiv · 1308.4997

Energy and Asymptotics of Ricci-Flat 4-Manifolds with a Killing Field

Brian Weber
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Abstract

Given a complete, Ricci-flat 4-manifold with a Killing field, we give an estimate on the manifold's energy in terms of a certain asymptotic quantity of the Killing field. If the Killing field has no zeros and satisfies a certain asymptotic condition, the manifold is flat.

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Brian Weber. 2013-08-22. Energy and Asymptotics of Ricci-Flat 4-Manifolds with a Killing Field. https://arxiv.org/abs/1308.4997

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