论文标题
Orbifold极限附近的K3表面上的大地测量学
Geodesics on a K3 Surface near the Orbifold Limit
论文作者
论文摘要
本文研究Kummer K3表面接近Orbifold限制。我们改善了由于河孢菌（R. kobayashi）而导致的calabi-yau指标的估计值。作为应用程序，我们研究了稳定的封闭测量学。我们使用度量估计来表明通常如何对这种大地测量学的存在受到限制。我们还展示了如何在某些高度对称的情况下由于Hyperkähler身份而存在稳定，封闭的大地测量学。
This article studies Kummer K3 surfaces close to the orbifold limit. We improve upon estimates for the Calabi-Yau metrics due to R. Kobayashi. As an application, we study stable closed geodesics. We use the metric estimates to show how there are generally restrictions on the existence of such geodesics. We also show how there can exist stable, closed geodesics in some highly symmetric circumstances due to hyperkähler identities.
