On asymptotics of complete Ricci-flat Kähler metrics on open manifolds
arXiv:math/0702777
Abstract
Tian and Yau constructed a complete Ricci-flat Kähler 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.
10 pages