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Minimal Lagrangian submanifolds in ℂPn with diagonal metric

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Abstract

We propose a method for constructing minimal Lagrangian submanifolds in ℂPn using the Baker-Akhiezer functions of algebraic spectral curves.

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Authors and Affiliations

  1. Novosibirsk State University, Novosibirsk, Russia

    I. P. Rybnikov

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  1. I. P. Rybnikov
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Correspondence to I. P. Rybnikov.

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Original Russian Text Copyright © 2011 Rybnikov I. P.

The author was supported by the Russian Foundation for Basic Research (Grant 09-01-00598) and the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant NSh-7256.2010.1).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 52, No. 1, pp. 133–142, January–February, 2011.

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Rybnikov, I.P. Minimal Lagrangian submanifolds in ℂPn with diagonal metric. Sib Math J 52, 105–112 (2011). https://doi.org/10.1134/S0037446606010113

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