From locally conformally Kähler to bi-hermitian structures on non-Kähler complex surfaces

Vestislav Apostolov (1) , Michael Bailey (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 locally conformally Kähler metrics on certain compact complex surfaces with odd first Betti number can be deformed to new examples of bi-hermitian metrics.

Mots clés: locally conformally Kähler; bihermitian; non Kähler surface; "locally conformally Kähler"; "bihermitian"; ''non Kähler surface"

Domaines: Variables complexes [math.CV]

Vestislav Apostolov, Michael Bailey, Georges Dloussky. From locally conformally Kähler to bi-hermitian structures on non-Kähler complex surfaces. 2014. ⟨hal-01067240⟩