Submanifold averaging in Riemannian and symplectic geometry

Zambon, Marco. "Submanifold averaging in Riemannian and symplectic geometry." Journal of the European Mathematical Society 008.1 (2006): 77-122. <http://eudml.org/doc/277653>.

@article{Zambon2006,
abstract = {We give a canonical construction of an “isotropic average” of given $C^1$-close isotropic submanifolds of a symplectic manifold. For this purpose we use an improvement (obtained in collaboration with H. Karcher) of Weinstein’s submanifold averaging theorem and apply “Moser’s trick”. We also present an application to Hamiltonian group actions.},
author = {Zambon, Marco},
journal = {Journal of the European Mathematical Society},
keywords = {averaging; isotropic; Lagrangian; Legendrian; parallel tubes; shape operators; averaging symplectic manifold; isotropic submanifold; Hamiltonian -space; moment map},
language = {eng},
number = {1},
pages = {77-122},
publisher = {European Mathematical Society Publishing House},
title = {Submanifold averaging in Riemannian and symplectic geometry},
url = {http://eudml.org/doc/277653},
volume = {008},
year = {2006},
}

TY - JOUR
AU - Zambon, Marco
TI - Submanifold averaging in Riemannian and symplectic geometry
JO - Journal of the European Mathematical Society
PY - 2006
PB - European Mathematical Society Publishing House
VL - 008
IS - 1
SP - 77
EP - 122
AB - We give a canonical construction of an “isotropic average” of given $C^1$-close isotropic submanifolds of a symplectic manifold. For this purpose we use an improvement (obtained in collaboration with H. Karcher) of Weinstein’s submanifold averaging theorem and apply “Moser’s trick”. We also present an application to Hamiltonian group actions.
LA - eng
KW - averaging; isotropic; Lagrangian; Legendrian; parallel tubes; shape operators; averaging symplectic manifold; isotropic submanifold; Hamiltonian -space; moment map
UR - http://eudml.org/doc/277653
ER -