A Normal Form Theorem around Symplectic Leaves
classification
🧮 math.DG
math.SG
keywords
theoremleavesconnsymplecticarbitraryaroundequivariantfoliation
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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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