Geodesics on a K3 surface near the orbifold limit
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Publication:2699057
DOI10.1007/s10455-023-09898-wOpenAlexW4362577957WikidataQ123244358 ScholiaQ123244358MaRDI QIDQ2699057
Publication date: 26 April 2023
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.04814
Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Geodesics in global differential geometry (53C22) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Cites Work
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- Zur analytischen Theorie hyperbolischer Raumformen und Bewegungsgruppen
- On the lengths of closed geodesics on almost round spheres
- A new proof of the existence of Kähler-Einstein metrics on K3. I
- A new proof of the existence of Kähler-Einstein metrics on K3. II
- Polarized period map for generalized K3 surfaces and the moduli of Einstein metrics
- On the average indices of closed geodesics
- The construction of ALE spaces as hyper-Kähler quotients
- A Torelli-type theorem for gravitational instantons
- Calabi-Yau metric on the Fermat surface. Isometries and totally geodesic submanifolds
- The spectrum of positive elliptic operators and periodic bicharacteristics
- On the closed geodesics of quaternionic manifolds of dimension 4
- Méthodes de contrôle optimal en analyse complexe. I: Résolution d'équation de Monge Ampère
- The homology theory of the closed geodesic problem
- Self-dual solutions to Euclidean gravity
- Complete hyperkähler \(4n\)-manifolds with a local tri-Hamiltonian \(\mathbb{R}^n\)-action
- A Kummer-type construction of self-dual 4-manifolds
- Elliptic partial differential equations of second order
- Mean curvature flows in manifolds of special holonomy
- On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth
- On the lengths of closed geodesics on convex surfaces
- Metrics of negative Ricci curvature
- Interior regularity of the complex Monge-Ampère equation in convex domains
- Compact Riemannian 7-manifolds with holonomy \(G_ 2\). II
- Compact 8-manifolds with holonomy \(\text{Spin}(7)\)
- Noncollapsed degeneration of Einstein 4-manifolds. II
- Spectrum of the Laplace operator and periodic geodesics: thirty years after
- Lectures on Kähler manifolds
- Periodic geodesics on compact Riemannian manifolds
- Applications of ergodic theory to the investigation of manifolds of negative curvature
- The splitting theorem for manifolds of nonnegative Ricci curvature
- ALF gravitational instantons and collapsing Ricci-flat metrics on the \(\mathrm{K3}\) surface
- Bubbling out of Einstein manifolds
- Riemannian manifolds with positive mean curvature
- An Introduction to the Kähler–Ricci Flow
- Two remarks on the length spectrum of a Riemannian manifold
- The Calabi–Yau Theorem
- BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS
- Ricci Curvature Bounds and Einstein Metrics on Compact Manifolds
- Fully Nonlinear, Uniformly Elliptic Equations Under Natural Structure Conditions
- The Yamabe problem
- Métriques kählériennes et fibrés holomorphes
- Classical solutions of fully nonlinear, convex, second-order elliptic equations
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- Calabi-Yau metrics on Kummer surfaces as a model glueing problem
- Numerical Ricci-flat metrics on K3
- Riemannian geometry.
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