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The infimum of the Nijenhuis energy

Evans, JD; (2012) The infimum of the Nijenhuis energy. Mathematical Research Letters , 19 (2) 383 - 388.

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Abstract

We prove that on any symplectic manifold whose symplectic form represents a rational cohomology class there exists a sequence of compatible almost complex structures whose Nijenhuis energy (the L²-norm of the Nijenhuis tensor) tends to zero. The sequence is obtained by stretching the neck around a Donaldson hypersurface.

Type: Article
Title: The infimum of the Nijenhuis energy
Location: US
Publisher version: http://www.intlpress.com/_newsite/site/pub/pages/j...
Additional information: Also available since Sep 2011 in preprint form from http://arxiv.org/abs/1109.4854
Keywords: Symplectic manifolds, Almost complex structures
UCL classification: UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics
URI: http://discovery.ucl.ac.uk/id/eprint/1359398
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