Asymptotically cylindrical 7-manifolds of holonomy G2 with applications to compact irreducible G2-manifolds

被引：0
|
作者：
Alexei Kovalev
Johannes Nordström
机构：
[1] University of Cambridge,DPMMS
[2] Centre for Mathematical Sciences,Department of Mathematics, South Kensington Campus
[3] Imperial College,undefined
来源：
Annals of Global Analysis and Geometry | 2010年 / 38卷
关键词：
Special holonomy; -manifolds; Asymptotically cylindrical manifolds; Moduli spaces; Coassociative submanifolds;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We construct examples of exponentially asymptotically cylindrical (EAC) Riemannian 7-manifolds with holonomy group equal to G2. To our knowledge, these are the first such examples. We also obtain EAC coassociative calibrated submanifolds. Finally, we apply our results to show that one of the compact G2-manifolds constructed by Joyce by desingularisation of a flat orbifold T7/Γ can be deformed to give one of the compact G2-manifolds obtainable as a generalized connected sum of two EAC SU(3)-manifolds via the method of Kovalev (J Reine Angew Math 565:125–160, 2003).
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页码：221 / 257
页数：36
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