论文标题
$ sp（4，\ mathbb {r}）$中的Maximal和Borel Anosov表示
Maximal and Borel Anosov representations in $Sp(4,\mathbb{R})$
论文作者
论文摘要
我们证明，表面基团的任何borel anosov表示为$ sp（4，\ mathbb {r}）$，具有最大托莱多不变的，必须是hitchin。我们还证明，表面组的表示为$ sp（2n，\ mathbb {r}）$，即$ \ {n-1，n \} $ - Anosov是最大的，并且仅当它满足HyperConvexity属性$ H_N $时。
We prove that any Borel Anosov representations of a surface group into $Sp(4,\mathbb{R})$ that has maximal Toledo invariant must be Hitchin. We also prove that a representation of a surface group into $Sp(2n,\mathbb{R})$ that is $\{n-1,n\}$-Anosov is maximal if and only if it satisfies the hyperconvexity property $H_n$.
