On formality of generalized symmetric spaces
On formality of generalized symmetric spaces
复制标题
论广义对称空间的形式
DOI：
10.1017/s0305004102006540
复制
发表时间：
2001
影响因子：
0.8
通讯作者：
Svjetlana Terzic
中科院分区：
文献类型：
--
作者：
Dieter Kotschick;Svjetlana Terzic
证明了紧致单李群的广义对称空间在Sullivan意义下是形式的。然而，其中许多，包括所有的非对称旗流形，不承认黎曼度量的所有产品的调和形式是调和的。
We prove that all generalized symmetric spaces of compact simple Lie groups are formal in the sense of Sullivan. Nevertheless, many of them, including all the non-symmetric flag manifolds, do not admit Riemannian metrics for which all products of harmonic forms are harmonic.