Compact homogeneous Riemannian manifolds with low coindex of symmetry
Compact homogeneous Riemannian manifolds with low coindex of symmetry
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具有低对称余指数的紧齐次黎曼流形
DOI：
10.4171/jems/664
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发表时间：
2013
影响因子：
2.6
通讯作者：
Silvio Reggiani
中科院分区：
文献类型：
--
作者：
J. Berndt;C. Olmos;Silvio Reggiani
我们发展了紧致齐次黎曼流形关于余对称指数的一般结构理论。然后，我们将使用这些结果来分类不可约的，单连通的，紧凑的齐次黎曼流形，其共同指数的对称性小于或等于3。我们还将构造许多例子，这些例子是由紧致型黎曼对称空间中的极和中心粒理论引起的。
We develop a general structure theory for compact homogeneous Riemannian manifolds in relation to the co-index of symmetry. We will then use these results to classify irreducible, simply connected, compact homogeneous Riemannian manifolds whose co-index of symmetry is less or equal than three. We will also construct many examples which arise from the theory of polars and centrioles in Riemannian symmetric spaces of compact type.