2021/05/02 by Davidov, Johann
#53C43 #58E20 #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2105.00426
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.