论文标题
排名一号对称空间的产品中的完全测量的亚体
Totally geodesic submanifolds in products of rank one symmetric spaces
论文作者
论文摘要
在本文中,我们将完全测量的亚策略分类为一条对称空间的任意产品。此外,我们提供了许多不可还原的遗传学对称空间中的不可还原性的submanifolds,具有非平凡的常数kähler角度,即它们既不复杂也不是真实的。
In this article we classify totally geodesic submanifolds in arbitrary products of rank one symmetric spaces. Furthermore, we give infinitely many examples of irreducible totally geodesic submanifolds in Hermitian symmetric spaces with non-trivial constant Kähler angle, i.e. they are neither complex nor totally real.