Mathematics – Differential Geometry
Scientific paper
2002-08-27
Journal of the European Mathematical Society (JEMS), Volume 8, Issue 1, 2006, pp: 77-122.
Mathematics
Differential Geometry
New title (old title: "Averaging of isotropic submanifolds"), paper re-written and expanded. Added: improvement of Weinstein's
Scientific paper
We give a construction to obtain canonically an ``isotropic average'' of
given $C^1$-close isotropic submanifolds of a symplectic manifold. To do so we
use an improvement of Weinstein's submanifold averaging theorem (obtained in
collaboration with H. Karcher) and apply ``Moser's trick''. We also present an
application to Hamiltonian group actions.
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