Ricci-flat metrics and dynamics on K3 surfaces

Abstract

We give an overview of some recent interactions between the geometry of K3 surfaces and their Ricci-flat Kahler metrics and the dynamical study of K3 automorphisms with positive entropy.

arXiv comment21 pages; small changes in section 7

References in corpus (11)

• The Kähler-Ricci flow on surfaces of positive Kodaira dimension
• Limits of Calabi-Yau metrics when the Kahler class degenerates
• Collapsing of abelian fibred Calabi-Yau manifolds
• Kähler currents and null loci
• Remarks on the collapsing of torus fibered Calabi-Yau manifolds
• Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy
• Degenerations of Calabi-Yau metrics
• Kummer rigidity for K3 surface automorphisms via Ricci-flat metrics
• Calabi-Yau manifolds and their degenerations
• Smooth and Rough Positive Currents
• Collapsing Calabi-Yau manifolds

Cited by in corpus (2)

• Gaps in the support of canonical currents on projective K3 surfaces
• Ricci-flat metrics on Calabi-Yau manifolds