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A proof of Milnor conjecture in dimension 3

Jiayin Pan

Abstract

We present a proof of the Milnor conjecture in dimension 3 based on Cheeger–Colding theory on limit spaces of manifolds with Ricci curvature bounded below. It is different from [17] that relies on minimal surface theory.

Acknowledgements

The author would like to thank Professor Xiaochun Rong and Professor Jeff Cheeger for suggestions during the preparation of this paper.

References

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Received: 2017-02-17
Revised: 2017-10-19
Published Online: 2018-03-01
Published in Print: 2020-01-01

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