论文标题

关于非弯曲的对称空间上双重叶的完整性

On the completeness of dual foliations on nonnegatively curved symmetric spaces

论文作者

Silva, Renato J. M. e, Sperança, Llohann D.

论文摘要

我们证明了Wilking关于在非弯曲的对称空间上的Riemannian叶子的双重叶子完整性的猜想。此外,我们得出的结论是,这样的叶子将其分为琐碎的叶子产物和单一双叶的叶子。

We prove Wilking's Conjecture about the completeness of dual leaves for the case of Riemannian foliations on nonnegatively curved symmetric spaces. Moreover, we conclude that such foliations split as a product of trivial foliations and a foliation with a single dual leaf.

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