Para-hyperhermitian surfaces

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.

14 pages

References in corpus (1)

• Non-geometric backgrounds, doubled geometry and generalised T-duality

Cited by in corpus (2)

• Compact complex surfaces with geometric structures related to split quaternions
• Compact Osserman manifolds with neutral metric