English

Locally conformally symplectic structures on compact non-K\"ahler complex surfaces

Differential Geometry 2016-05-10 v3

Abstract

We prove that every compact complex surface with odd first Betti number admits a locally conformally symplectic 22-form which tames the underlying almost complex structure.

Keywords

Cite

@article{arxiv.1501.02687,
  title  = {Locally conformally symplectic structures on compact non-K\"ahler complex surfaces},
  author = {Vestislav Apostolov and Georges Dloussky},
  journal= {arXiv preprint arXiv:1501.02687},
  year   = {2016}
}

Comments

typos and a sign error in Convention 2.1 corrected

R2 v1 2026-06-22T07:58:31.146Z