Para-hyperhermitian surfaces

2009/06/02 by Johann Davidov, Gueo Grantcharov, Davidov, Johann +5
Mathematics · Physics and Astronomy · #53C26 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th #math.DG #msc:53C26

paper · pdf · doi:10.48550/arxiv.0906.0546

14 pages

arxiv created 2009/06/02 · arxiv updated 2009/12/01

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.

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