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arxiv: 1109.4854 · v2 · pith:W6PO4BWQnew · submitted 2011-09-22 · 🧮 math.SG · math.DG

The infimum of the Nijenhuis energy

classification 🧮 math.SG math.DG
keywords nijenhuisenergysequencesymplecticwhosealmostaroundclass
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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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