Hyperk\"ahler geometry of rational curves in twistor spaces
Roger Bielawski, Naizhen Zhang
TL;DR
This paper explores the geometric properties of rational curves of higher degree within the twistor space of hyperk"ahler 4-manifolds, focusing on their pseudo-hyperk"ahler structure.
Contribution
It provides new insights into the pseudo-hyperk"ahler geometry of higher degree rational curves in twistor spaces of hyperk"ahler 4-manifolds.
Findings
Characterization of the pseudo-hyperk"ahler structure
Analysis of higher degree rational curves
Connections between twistor geometry and hyperk"ahler structures
Abstract
We investigate the pseudo-hyperk\"ahler geometry of higher degree rational curves in the twistor space of a hyperk\"ahler -manifold.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Geometric Analysis and Curvature Flows