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2018 Poisson structures on closed manifolds
Sauvik Mukherjee
Topol. Methods Nonlinear Anal. 51(1): 243-257 (2018). DOI: 10.12775/TMNA.2017.059

Abstract

We prove an $h$-principle for Poisson structures on closed manifolds. Equivalently, we prove an $h$-principle for symplectic foliations (singular) on closed manifolds. On open manifolds however the singularities could be avoided and it is a known result by Fernandes and Frejlich [Int. Math. Res. Not. IMRN (2012), no. 7, 1505-1518].

Citation

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Sauvik Mukherjee. "Poisson structures on closed manifolds." Topol. Methods Nonlinear Anal. 51 (1) 243 - 257, 2018. https://doi.org/10.12775/TMNA.2017.059

Information

Published: 2018
First available in Project Euclid: 17 February 2018

zbMATH: 06887980
MathSciNet: MR3784744
Digital Object Identifier: 10.12775/TMNA.2017.059

Rights: Copyright © 2018 Juliusz P. Schauder Centre for Nonlinear Studies

Vol.51 • No. 1 • 2018
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