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Averaging of Legendrian Submanifolds of Contact Manifolds |
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| Authors: | |
| Institution: | (1) Department of Mathematics, UC Berkeley, CA, U.S.A. |
| Abstract: | We give a procedure to ‘average’ canonically C1-close Legendrian submanifolds of contact manifolds. As a corollary we obtain that, whenever a compact group action leaves a Legendrian submanifold almost invariant, there is an invariant Legendrian submanifold nearby. Mathematics Subject Classification (2000): 53D10. |
| Keywords: | contact manifold invariant submanifold Legendrian submanifold |
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