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arXiv:1009.2090 [math.DG]AbstractReferencesReviewsResources

A Normal Form Theorem around Symplectic Leaves

Marius Crainic, Ioan Marcut

Published 2010-09-10, updated 2012-08-11Version 3

We prove the Poisson geometric version of the Local Reeb Stability (from foliation theory) and of the Slice Theorem (from equivariant geometry). The result is also a generalization of Conn's linearization theorem from one-point leaves to arbitrary symplectic leaves (however, we do not make use of Conn's theorem).

Comments: 32 pages. v3: some proofs were simplified, typos fixed, definitions of well-known notions were left out
Journal: J. Differential Geom. 92 (2012), no. 3, 417-461
Categories: math.DG, math.SG
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