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On the geometry of almost complex 6-manifolds

On the geometry of almost complex 6-manifolds

This article discusses some basic geometry of almost complex 6-manifolds.A 2-parameter family of intrinsic first-order functionals on almost complex structures on 6manifolds is introduced and their Euler-Lagrange equations are computed.A natural generalization of holomorphic bundles over complex manifolds to the almost complex case is introduced.The general almost complex manifold will …