Asymptotically cylindrical Calabi-Yau manifolds
type: Item
instance of: scholarly article
title: Asymptotically cylindrical Calabi-Yau manifolds
zbMATH Open document ID: 1332.32028
author: Mark Haskins
author: Hans-Joachim Hein
author: Johannes Nordström
published in: Journal of Differential Geometry
publication date: 2015-11-12T00:00:00Z
full work available at URL: https://arxiv.org/abs/1212.6929
full work available at URL: https://projecteuclid.org/euclid.jdg/1442364651
review text: 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}}
reviewed by: Constantin Călin
Mathematics Subject Classification ID: 32Q25
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 6507797
zbMATH Keywords: asymptotically cylindrical Calabi-Yau manifolds
Wikidata QID: Q115167659
MaRDI profile type: Publication
OpenAlex ID: W1870069377
arXiv ID: 1212.6929
DOI: 10.4310/JDG/1442364651
description: scientific article