Mathematical Research Letters
Volume 19 (2012)
The infimum of the Nijenhuis energy
Pages: 383 – 388
We prove that on any symplectic manifold whose symplecticform represents a rational cohomology class there exists asequence of compatible almost complex structures whoseNijenhuis energy (the $L^2$-norm of the Nijenhuis tensor)tends to zero. The sequence is obtained by stretching theneck around a Donaldson hypersurface.