Published January 1, 2015
| Version v1
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Conformally Kahler surfaces and orthogonal holomorphic bisectional curvature
Creators
- 1. Tunceli Univ, TR-62000 Aktuluk, Turkey
- 2. Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA
Description
We show that a compact complex surface which admits a conformally Kahler metric of positive orthogonal holomorphic bisectional curvature is biholomorphic to the complex projective plane. In addition, if is a Hermitian metric which is Einstein, then the biholomorphism can be chosen to be an isometry via which becomes a multiple of the Fubini-Study metric.
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