Orthogonal almost complex structure and its Nijenhuis tensor

Zizhou Tang, Wenjiao Yan

In this paper, we demonstrate that on an almost Hermitian manifold $(M^{2n},J,d{s}^2)$, a 2-form $\phi =S^{\ast }\Phi$, the pulling back of the Kähler form $\Phi$ on the twistor bundle over $M^{2n…