An intrinsic volume functional on almost complex 6-manifolds and nearly Kähler geometry
An intrinsic volume functional on almost complex 6-manifolds and nearly Kähler geometry
Let (M, I) be an almost complex 6-manifold.The obstruction to the integrability of almost complex structure N : 0,1 (M) → 2,0 (M) (the so-called Nijenhuis tensor) maps one 3-dimensional bundle to another 3-dimensional bundle.We say that Nijenhuis tensor is nondegenerate if it is an isomorphism.An almost complex manifold (M, …