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Lagrangian submanifolds in k-symplectic settings

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Abstract

In this paper we extend the well-know normal form theorem for Lagrangian submanifolds proved by Weinstein in symplectic geometry to the setting of k-symplectic manifolds.

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Correspondence to S. Vilariño.

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Communicated by A. Constantin.

This work has been partially supported by MICINN (Spain) MTM2010- 21186-C02-01, MTM2010-12116-E and MTM2011-2585, the European project IRSES-project “Geomech-246981” and the ICMAT Severo Ochoa project SEV-2011-0087.

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de León, M., Vilariño, S. Lagrangian submanifolds in k-symplectic settings. Monatsh Math 170, 381–404 (2013). https://doi.org/10.1007/s00605-012-0415-8

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  • DOI: https://doi.org/10.1007/s00605-012-0415-8

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