On complete Ricci-flat metrics on open Kahler manifolds

TL;DR

This paper extends the understanding of Ricci-flat metrics on open Kähler manifolds by analyzing asymptotic expansions of Tian-Yau metrics on a broader class of quasi-projective manifolds.

Contribution

It broadens the class of quasi-projective manifolds for which the asymptotic behavior of Tian-Yau metrics is understood, building on previous work.

Findings

Extended asymptotic expansion results for Tian-Yau metrics

Broader class of quasi-projective manifolds analyzed

Provided introductory overview of Ricci-flat metrics on open manifolds

Abstract

This paper has two purposes. First it partially extends the result in the author's previous work concerning the asymptotic expansion of the Tian-Yau metrics, by considering a slightly larger class of quasi-projective manifolds. This text is also intended to provide a quick introductory reference to the study of Ricci-flat metrics on open manifolds.