Compact Complex Surfaces of Locally Conformally Flat Type
Differential Geometry
2018-10-25 v3 Algebraic Geometry
Geometric Topology
Abstract
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. Then we give a list of possibilities of such surfaces.
Cite
@article{arxiv.1305.2608,
title = {Compact Complex Surfaces of Locally Conformally Flat Type},
author = {Mustafa Kalafat and Caner Koca},
journal= {arXiv preprint arXiv:1305.2608},
year = {2018}
}
Comments
14 pages, Final version with journal information