LOCALLY CONFORMALLY SYMPLECTIC STRUCTURES ON COMPACT NON- KAHLER COMPLEX SURFACES

Vestislav Apostolov (1) , Georges Dloussky (2)

1 CIRGET - Centre interuniversitaire de recherches en géométrie et topologie [Montréal]
2 LATP - Laboratoire d'Analyse, Topologie, Probabilités

We prove that every compact complex surface with odd first Betti num-ber admits a locally conformally symplectic 2-form which tames the underlying almost complex structure.

Mots clés: complex surfaces

Domaines: Variables complexes [math.CV]; Géométrie différentielle [math.DG]

Vestislav Apostolov, Georges Dloussky. LOCALLY CONFORMALLY SYMPLECTIC STRUCTURES ON COMPACT NON- KAHLER COMPLEX SURFACES. International Mathematics Research Notices, 2015, ⟨10.1093/imrn/rnv211⟩. ⟨halshs-01108138v2⟩