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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/journals/items/mrl/content/vols/0019/0002/00020794/index.php
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

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