The infimum of the Nijenhuis energy

Details The infimum of the Nijenhuis energy The infimum of the Nijenhuis energy

2011-09-22

arxiv.org/abs/1109.4854v1

Mathematics

Symplectic Geometry

5 pages

Scientific paper

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 $L^2$-norm of the Nijenhuis tensor)
tends to zero. The sequence is obtained by stretching the neck around a
Donaldson hypersurface.

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