A Normal Form Theorem around Symplectic Leaves

Details A Normal Form Theorem around Symplectic Leaves A Normal Form Theorem around Symplectic Leaves

2010-09-10

arxiv.org/abs/1009.2090v2

Mathematics

Differential Geometry

50 pages. v2: minor corrections, typos fixed

Scientific paper

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).

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