Lawson’s minimal surfaces

Lawson’ss minimal surface ξ_6,1 of genus 6, stereographically projected from S³ to R³

Two stereographic projections of Lawson’s minimal surfaces ξ_g,1 of genus g=2, 3, 4, 5, 6

Lawson’s minimal surface ξ_2,1 moving isometrically in S³ and stereographically projected to R³

Deconstructing Lawson’s minimal surface ξ_2,1

References

[1]  Sebastian Heller. The spectral curve for Lawson’s minimal surface of genus 2, 2012.

[2]  Sebastian Heller. Lawson’s genus two minimal surface and meromorphic connections. 2010.

[3]  Sebastian Heller. Higher genus minimal surfaces in S³ and stable bundles. 2009.

[4]  Lawson, H. Blaine, Jr. Complete minimal surfaces in S³. Ann. of Math. (2) 92 1970 335–374.

[5]  Lawson, H. Blaine, Jr. Compact minimal surfaces in S3. 1970 Global Analysis (Proc. Sympos. Pure Math., Vol. XV, Berkeley, Calif., 1968) pp. 275–282 Amer. Math. Soc., Providence, R.I.