Para-hyperhermitian surfaces
Johann Davidov, Gueo Grantcharov, Oleg Mushkarov, Mirroslav Yotov
TL;DR
This paper investigates the existence of para-hyperhermitian structures on compact complex surfaces, providing examples on Inoue surfaces of type S- that lack compatible metrics.
Contribution
It constructs new examples of para-hypercomplex structures on specific complex surfaces, expanding understanding of their geometric properties.
Findings
Examples of para-hypercomplex structures on Inoue surfaces of type S-
Existence of para-hyperhermitian structures without compatible metrics
Insights into the geometric structure of complex 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 which do not admit compatible metrics.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Geometric Analysis and Curvature Flows