Harmonic Hermitian structures on Riemannian manifolds with skew-torsion

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Duration: 3 min 30 s
Description: We find geometric conditions on a four-dimensional Hermitian manifold endowed with a metric connection with totally skew-symmetric torsion under which the complex structure is a harmonic map from the manifold into its twistor space considered with a natural family of Riemannian metrics defined by means of the metric and the given connection on the base manifold.
Johann Davidov
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