An almost flat manifold with a cyclic or quaternionic holonomy group bounds
An almost flat manifold with a cyclic or quaternionic holonomy group bounds
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DOI：
10.4310/jdg/1463404119
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发表时间：
2015-01
期刊：
影响因子：
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通讯作者：
James F. Davis;F. Fang
中科院分区：
文献类型：
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作者：
James F. Davis;F. Fang
A long-standing conjecture of Farrell and Zdravkovska and independently S.~T.~Yau states that every almost flat manifold is the boundary of a compact manifold. This paper gives a simple proof of this conjecture when the holonomy group is cyclic or quaternionic. The proof is based on the interaction between flat bundles and involutions.
