nLab minimal surface

Idea

A minimal surface is an embedded Riemannian surface which locally minimizes its area.

Related concepts

• Polyakov action, Nambu-Goto action

• Ryu-Takayanagi formula, ER = EPR

References

See also:

• Wikipedia, Minimal surface

Discussion of complex minimal surfaces via the Oka principle:

• Antonio Alarcón, Franc Forstnerič, New complex analytic methods in the theory of minimal surfaces: a survey, Journal of the Australian Mathematical Society, 106(3), 287-341 (arXiv:1711.08024, doi:10.1017/S1446788718000125)