论文标题
在紧凑的各向同性不可约合的riemannian同质空间中反射性的弱反射性亚策略
On weakly reflective submanifolds in compact isotropy irreducible Riemannian homogeneous spaces
论文作者
论文摘要
我们表明，对于任何弱反射性的亚体而言，紧凑的各向同性不可约合的riemannian同质空间的平行传输图下的逆图是一个无限的尺寸弱反射性的弱反射性PF hilbert空间的submanifold。这是作者先前的结果的扩展，在紧凑的不可还原riemannian对称空间的情况下。我们还给出了SO获得的弱反射性PF子术的特征。
We show that for any weakly reflective submanifold of a compact isotropy irreducible Riemannian homogeneous space its inverse image under the parallel transport map is an infinite dimensional weakly reflective PF submanifold of a Hilbert space. This is an extension of the author's previous result in the case of compact irreducible Riemannian symmetric spaces. We also give a characterization of so obtained weakly reflective PF submanifolds.
