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A Criterion for Uniqueness of Tangent Cones at Infinity for Minimal Surfaces

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Abstract

We partially resolve a conjecture of Meeks on the asymptotic behavior of minimal surfaces in \(\mathbb {R}^3\) with quadratic area growth.

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Acknowledgements

The author would like to thank his advisor, William Minicozzi, as well as Jonathan Zhu, Frank Morgan, Ao Sun, and Nick Strehlke for their comments and suggestions throughout the writing of this paper. Many thanks also to the referee’s helpful suggestions.

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Authors and Affiliations

  1. Massachusetts Institute of Technology, Cambridge, MA, USA

    Paul Gallagher

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  1. Paul Gallagher
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Correspondence to Paul Gallagher.

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Gallagher, P. A Criterion for Uniqueness of Tangent Cones at Infinity for Minimal Surfaces. J Geom Anal 29, 370–377 (2019). https://doi.org/10.1007/s12220-018-9994-5

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  • DOI: https://doi.org/10.1007/s12220-018-9994-5

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