First eigenvalue of symmetric minimal surfaces in S3

By Jaigyoung Choe, M. Soret. 2009

49 citations recorded by the source corpus.

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A Characterization of the Critical Catenoid (2016, methodology): “For this, we adapt a symmetrization technique of Choe and Soret [5], who proved that the lowest eigenvalue of the Laplacian on the Lawson and Karcher-Pinkall-Sterling minimal surfaces in S3 is 2.”
Metrics on a closed surface of genus two which maximize the first eigenvalue of the Laplacian (2017, background): “It is worth while to mention that the Lawson minimal surface of genus two in S(3) has λ1 = 2 [1] and Area ≈ 21.”
Embedded minimal tori in S3 and the Lawson conjecture (2012, background): “Yau’s conjecture is discussed in more detail in [6], [7], and [8].”
Free boundary minimal surfaces in the unit ball : recent advances and open questions (2019, methodology): “Using a symmetrization argument of Choe and Soret [9], he proved that certain symmetry assumptions would imply σ1 = 1.”
Minimal surfaces in $$S^3$$: a survey of recent results (2013, background): “Moreover, the two-piece property was generalized to higher dimensions in [13].”