论文标题
详细介绍了Calabi-Guchi-Hanson空间
A detailed look at the Calabi-Eguchi-Hanson spaces
论文作者
论文摘要
本文详细介绍了Eguchi-Hanson和Calabi在复杂的投影空间的规范线束上提出的RICCI-FLAT指标。我们将这些空间描述为某些Orbifold奇点的分辨率。然后,我们明确地计算曲率,并证明所有紧凑的,最小的亚策略都包含在零部分中。这扩展了Tsai和Wang的结果。
This article takes a detailed look at the Ricci-flat metrics introduced by Eguchi-Hanson and Calabi on the canonical line bundle of complex projective space. We give a description of these spaces as resolutions of certain orbifold singularities. We then compute the curvature explicitly and show that all compact, minimal submanifolds are contained in the zero section. This extends a result by Tsai and Wang.