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

Abstract

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.

arXiv commentminor revision, final version

References in corpus (2)

• Generalized Kahler geometry
• Conformal changes of generalized complex structures