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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2011 Volume 52, Number 1, Pages 133–142 (Mi smj2183)
Minimal Lagrangian submanifolds in $\mathbb C\mathrm P^n$ with diagonal metric

I. P. Rybnikov

Novosibirsk State University, Mechanics and Mathematics Department, Novosibirsk

Abstract: We propose a method for constructing minimal Lagrangian submanifolds in $\mathbb C\mathrm P^n$ using the Baker–Akhiezer functions of algebraic spectral curves.

Keywords: Lagrangian submanifold, Baker–Akhiezer function.

UDC: 514.75

Received: 12.10.2010


 English version: Siberian Mathematical Journal, 2011, 52:1, 105–112

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© Steklov Math. Inst. of RAS, 2024