Published January 1, 2016
| Version v1
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COMPACT COMPLEX SURFACES OF LOCALLY CONFORMALLY FLAT TYPE
Creators
- 1. Tunceli Univ, Mekatron Muhendisligi, TR-62000 Tunceli, Turkey
- 2. Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA
Description
We show that if a compact complex surface admits a locally conformally flat metric, then it cannot contain a smooth rational curve of odd self-intersection. In particular, the surface has to be minimal. Moreover, we give a list of possibilities of such surfaces.
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