Compact Hermitian surfaces and isotropic curvature
Apostolov, Vestislav ; Davidov, Johann
Illinois J. Math., Tome 44 (2000) no. 4, p. 438-451 / Harvested from Project Euclid
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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.
Publié le : 2000-06-15
Classification:  53C55 
@article{1255984849,
     author = {Apostolov, Vestislav and Davidov, Johann},
     title = {Compact Hermitian surfaces and isotropic curvature},
     journal = {Illinois J. Math.},
     volume = {44},
     number = {4},
     year = {2000},
     pages = { 438-451},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255984849}
}

Apostolov, Vestislav; Davidov, Johann. Compact Hermitian surfaces and isotropic curvature. Illinois J. Math., Tome 44 (2000) no. 4, pp.  438-451. http://gdmltest.u-ga.fr/item/1255984849/