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arXiv · 1811.12584

Blowing up extremal Poincar\'e type manifolds

Lars Martin Sektnan
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Abstract

We prove a version of the Arezzo-Pacard-Singer blow-up theorem in the setting of Poincar\'e type metrics. We apply this to give new examples of extremal Poincar\'e type metrics. A key feature is an additional obstruction which has no analogue in the compact case. This condition is conjecturally related to ensuring the metrics remain of Poincar\'e type.

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Lars Martin Sektnan. 2018-11-30. Blowing up extremal Poincar\'e type manifolds. https://arxiv.org/abs/1811.12584

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