Johann Davidov, Gueo Grantcharov, Oleg Mushkarov, Miroslav Yotov: Para-hyperhermitian surfaces, p.281-289

Abstract:

In this note we discuss the problem of existence of para-hyperhermitian structures on compact complex surfaces. We construct examples of para-hypercomplex structures on Inoue surfaces of type $S^{-}$ which do not admit compatible metrics.

Key Words: para-hypercomplex, para-hyperhermitian and para-hyperkähler structures, complex surfaces.

2000 Mathematics Subject Classification: Primary: 53C26,
Secondary: 53C15.

Download the paper in pdf format here.