On asymptotics of complete Ricci-flat Kähler metrics on open manifolds

Details On asymptotics of complete Ricci-flat Kähler metrics on open manifolds On asymptotics of complete Ricci-flat Kähler metrics on open manifolds

2007-02-26

arxiv.org/abs/math/0702777v1

Mathematics

Differential Geometry

10 pages

Scientific paper

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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