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arxiv: 0906.0546 · v1 · submitted 2009-06-02 · 🧮 math.DG · hep-th

Para-hyperhermitian surfaces

classification 🧮 math.DG hep-th
keywords surfacespara-hyperhermitianstructuresadmitcompactcompatiblecomplexconstruct
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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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