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Conjecture on Gray–Hervella classes of almost Hermitian structures on the Iwasawa manifold
Iwasawa manifold Gray–Hervella conjecture. The manifold $\undertilde{\mathcal{M}}$ cannot admit almost Hermitian structures in the classes $\mathcal{W}_1$ and $\mathcal{W}_4$ .
Conjectureopenalmost-hermitian-geometry gray-hervella-classes iwasawa-manifoldarXiv posted 2 days ago

Conjecture on Gray–Hervella classes of almost Hermitian structures on the Iwasawa manifold