论文标题
投影空间的产物中的稳定子手机
Stable submanifolds in the product of projective spaces
论文作者
论文摘要
我们提供了一个分类定理，用于在复杂（quaternionic）投影空间的产物中与任何其他riemannian曲目的产品中的Codimension $ 1 $或尺寸$ 1 $或尺寸$ 1 $或尺寸$ 1 $（COSMI）$ 1 $（CSMI）。我们将Codimension $ 2 $或Dimension $ 2 $的复杂最小沉浸液描述为两个复杂投影空间的唯一CSMI。作为一个应用程序，我们在复杂（Quaternionic）投影空间的产品中表征了Codimension $ 1 $或DIMENS $ 1 $或DIMENS $ 1 $（CODIMENS $ 1 $和$ 2 $和Dimension $ 1 $和$ 2 $）的CSMI，任何紧凑的级别等级一个对称空间。
We provide a classification theorem for compact stable minimal immersions (CSMI) of codimension $1$ or dimension $1$ (codimension $1$ and $2$ or dimension $1$ and $2$) in the product of a complex (quaternionic) projective space with any other Riemannian manifold. We characterize the complex minimal immersions of codimension $2$ or dimension $2$ as the only CSMI in the product of two complex projective spaces. As an application, we characterize the CSMI of codimension $1$ or dimension $1$ (codimension $1$ and $2$ or dimension $1$ and $2$) in the product of a complex (quaternionic) projective space with any compact rank one symmetric space.
