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

Vestislav Apostolov (1) , Michael Bailey (2) , Georges Dloussky (3)

1 CIRGET - Centre interuniversitaire de recherches en géométrie et topologie [Montréal]
2 Maclean Building, Benson Lane, Crowmarsh Gifford
3 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.

Domaines: Variables complexes [math.CV]

Vestislav Apostolov, Michael Bailey, Georges Dloussky. From locally conformally Kähler to bi-Hermitian structures on non- Kähler complex surfaces. Mathematical Research Letters, 2015. ⟨hal-01255759⟩