Explicit expressions for the Iwasawa factors, the metric and the monodromy matrices for minimal Lagrangian surfaces in $\mathbb{C}{P}^2$

Abstract

In this paper we continue our study of equivariant minimal Lagrangian surfaces in $\mathbb{C}{P}^2$, characterizing the rotationally equivariant cases and providing explicit formulae for relevant geometric quantities of translationally equivariant minimal Lagrangian surfaces in terms of Weierstrass elliptic functions.

28 pages. arXiv admin note: text overlap with arXiv:1502.04877

References in corpus (1)

• Equivariant harmonic cylinders

Cited by in corpus (1)

• Minimal Lagrangian surfaces in $\mathbb{C}{P}^2$ via the loop group method Part I: the contractible case