Topological Methods in Nonlinear Analysis

Poisson structures on closed manifolds

Sauvik Mukherjee

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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].

Article information

Source
Topol. Methods Nonlinear Anal., Volume 51, Number 1 (2018), 243-257.

Dates
First available in Project Euclid: 17 February 2018

Permanent link to this document
https://projecteuclid.org/euclid.tmna/1518836437

Digital Object Identifier
doi:10.12775/TMNA.2017.059

Mathematical Reviews number (MathSciNet)
MR3784744

Zentralblatt MATH identifier
06887980

Citation

Mukherjee, Sauvik. Poisson structures on closed manifolds. Topol. Methods Nonlinear Anal. 51 (2018), no. 1, 243--257. doi:10.12775/TMNA.2017.059. https://projecteuclid.org/euclid.tmna/1518836437


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