Blowing up extremal Poincar\'e type manifolds
Differential Geometry
2018-12-03 v1
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.
Cite
@article{arxiv.1811.12584,
title = {Blowing up extremal Poincar\'e type manifolds},
author = {Lars Martin Sektnan},
journal= {arXiv preprint arXiv:1811.12584},
year = {2018}
}
Comments
36 pages, comments are welcome