Mathematical Research Letters

Volume 29 (2022)

Number 3

Global uniqueness of the minimal sphere in the Atiyah–Hitchin manifold

Pages: 871 – 886

DOI: https://dx.doi.org/10.4310/MRL.2022.v29.n3.a10

Authors

Chung-Jun Tsai (Department of Mathematics, National Taiwan University, Taipei, Taiwan)

Mu-Tao Wang (Department of Mathematics, Columbia University, New York, N.Y., U.S.A.)

Abstract

In this note, we prove uniqueness properties of the minimal sphere in the Atiyah–Hitchin manifold.

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The authors’ work was supported in part by Taiwan MOST grants MOST 108-2636-M-002-009 (C.-J. Tsai), and NSF grant DMS-1810856 (M.-T. Wang).

Received 5 March 2020

Accepted 20 May 2020

Published 30 November 2022