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math.DG2007★ 31 cited
Almost Hermitian Structures with Parallel Torsion
Nils Schoemann
The characteristic connection of an almost hermitian structure is a hermitian connection with totally skew-symmetric torsion. The case of parallel torsion in dimension six is of pa…
math.DG2004
Almost Hermitian 6-Manifolds Revisited
Bogdan Alexandrov, Thomas Friedrich, Nils Schoemann
A Theorem of Kirichenko states that the torsion 3-form of the characteristic connection of a nearly Kähler manifold is parallel. On the other side, any almost hermitian manifold of…