Asymptotically cylindrical Calabi-Yau manifolds
The present paper has two main goals:{\parindent=0.5cm\begin{itemize}\item[1)] to give a short and self-contained proof of a generalized and refined version of the Tian-Yau Theorem, \item[2)] to show that every complete Ricci-flat Kähler manifold of complex dimension \(n>2\) that is exponentially asymptotic to a half-cylinder \([0, +\infty )\times X\) arises from the generalization of the Tian-Yau construction from 1). \end{itemize}}
asymptotically cylindrical Calabi-Yau manifolds
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