Abstract
It is shown that on a Kähler surface the non-negativity (resp. non-positivity) of the isotropic curvature is implied by the non-negativity (resp. non-positivity) of the holomorphic bisectional curvature. The compact Hermitian surfaces of non-negative isotropic curvature are described. The full list of compact half conformally flat Hermitian surfaces of non-positive isotropic curvature is also given.
Citation
Vestislav Apostolov. Johann Davidov. "Compact Hermitian surfaces and isotropic curvature." Illinois J. Math. 44 (2) 438 - 451, Summer 2000. https://doi.org/10.1215/ijm/1255984849
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