Abstract
A Bochner-type formula for almost Hermitian manifolds is introduced. From this formula, one can find obstructions imposed by the curvature to the existence of certain almost Hermitian structures on compact manifolds.
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Hernández-lamoneda, L. Curvature vs. Almost Hermitian Structures. Geometriae Dedicata 79, 205–218 (2000). https://doi.org/10.1023/A:1005232107795
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DOI: https://doi.org/10.1023/A:1005232107795