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

preprint2020arXivOpen access

In this paper, we employ the loop group method to study the construction of minimal Lagrangian surfaces in the complex projective plane for which the surface is contractible. We present several new classes of minimal Lagrangian surfaces in $\mathbb{C} P^2$ .

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

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Minimal Lagrangian surfaces in CP2\mathbb{C}P^2CP2 via the loop group method Part I: the contractible case

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