Nijenhuis Tensor

Some articles on tensor, nijenhuis tensor, nijenhuis:

Almost Complex Manifold - Integrable Almost Complex Structures
... A is a tensor field of rank (1, 1), then the Nijenhuis tensor is a tensor field of rank (1,2) given by The individual expressions on the right depend on the choice of the smooth vector fields X and Y, but ... from the component formula In terms of the Frölicher–Nijenhuis bracket, which generalizes the Lie bracket of vector fields, the Nijenhuis tensor NA is just one-half of ... other criteria which are equivalent to the vanishing of the Nijenhuis tensor, and which therefore furnish methods for checking the integrability of an ...