On asymptotics of complete Ricci-flat K\"ahler metrics on open manifolds
Differential Geometry
2007-05-23 v1 Complex Variables
Abstract
Tian and Yau constructed a complete Ricci-flat K\"ahler metric on the complement of an ample and smooth anticanonical divisor. We inquire into the behaviour of this metric towards the boundary divisor and prove a slow decay rate of the difference to an appropriate explicitely given referential metric.
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Cite
@article{arxiv.math/0702777,
title = {On asymptotics of complete Ricci-flat K\"ahler metrics on open manifolds},
author = {Bert Koehler and Marco Kuehnel},
journal= {arXiv preprint arXiv:math/0702777},
year = {2007}
}
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10 pages