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Lagrangian Klein Bottles in \({\mathbb{R}^{2n}}\)

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Abstract

It is shown that the n-dimensional Klein bottle admits a Lagrangian embedding into \({\mathbb{R}^{2n}}\) if and only if n is odd.

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Authors and Affiliations

  1. Steklov Mathematical Institute, Gubkina 8, 119991, Moscow, Russia

    Stefan Nemirovski

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  1. Stefan Nemirovski
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Correspondence to Stefan Nemirovski.

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The author was supported by grants from DFG, RFBR, Russian Science Support Foundation, and the programme “Leading Scientific Schools of Russia.”.

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Nemirovski, S. Lagrangian Klein Bottles in \({\mathbb{R}^{2n}}\) . Geom. Funct. Anal. 19, 902–909 (2009). https://doi.org/10.1007/s00039-009-0014-6

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  • DOI: https://doi.org/10.1007/s00039-009-0014-6

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