An almost flat manifold with a cyclic or quaternionic holonomy group bounds

James F. Davis; Fuquan Fang

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arXiv · 1501.00300

An almost flat manifold with a cyclic or quaternionic holonomy group bounds

James F. Davis·Fuquan Fang

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Abstract

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.

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BibTeX RIS

James F. Davis, Fuquan Fang. 2015-04-20. An almost flat manifold with a cyclic or quaternionic holonomy group bounds. https://arxiv.org/abs/1501.00300

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