We consider a topologically mixing hyperbolic attractor \(\Lambda\subset M^{n}\) for a diffeomorphism \(f:M^{n}\to M^{n}\) of a compact orientable \(n\)-manifold \(M^{n}\), \(n>3\). Such an attractor \(\Lambda\) is called an Anosov torus provided the restriction \(f|_{\Lambda}\) is conjugate to Anosov algebraic automorphism of \(k\)-dimensional torus \(\mathbb{T}^{k}\). We prove that \(\Lambda\) is an Anosov torus for two cases: 1) \(\dim{\Lambda}=n-1\), \(\dim{W^{u}_{x}}=1\), \(x\in\Lambda\); 2) \(\dim\Lambda=k,\dim W^{u}_{x}=k-1,x\in\Lambda\), and \(\Lambda\) belongs to an \(f\)-invariant closed \(k\)-manifold, \(2\leqslant k\leqslant n\), topologically embedded in \(M^{n}\).

我们考虑微分同胚的拓扑混合双曲吸引子\(\Lambda\subset M^{n}\)紧凑可定向的 。\(M^{n}\)，拓扑嵌入\(2\leqslant k\leqslant n\)-流形，\(k\) 维环面 \(f\) 属于 \(\Lambda\)，并且 \(\dim\Lambda=k,\dim W^{u}_{x}=k-1,x\in\Lambda\) ; 2) \(x\in\Lambda\), \(\dim{W ^{u}_{x}}=1\), \(\dim{\Lambda}=n-1\) 是两种情况下的阿诺索夫环面： 1) \(\Lambda\)。 我们证明 \(\mathbb{T}^{k}\)\(k\) 与 \(f|_{ \Lambda}\)被称为阿诺索夫环面，只要满足限制\(\Lambda\)。这样的吸引子\( n>3\), \(M^{n}\)-流形\(n\) \(f:M^{n}\to M^{n}\)