GENUS TWO SMALE–WILLIAMS SOLENOID ATTRACTORS IN 3-MANIFOLDS
GENUS TWO SMALE–WILLIAMS SOLENOID ATTRACTORS IN 3-MANIFOLDS
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DOI：
10.1142/s0218216511009108
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发表时间：
2011-06
影响因子：
0.5
通讯作者：
Jiming Ma;B. Yu
中科院分区：
文献类型：
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作者：
Jiming Ma;B. Yu
利用交替Heegaard图，我们构造了一些3-流形，这些流形上的非游荡集是由Smal-Williams螺线管吸引子和排斥子组成的，并且这些流形上的非游荡集是由Smal-Williams螺线管吸引子和排斥子组成的.一个有趣的例子是截断立方体空间。此外，我们还证明了如果闭流形的非游荡集由亏格2个Smal-Williams亏格组成，则闭流形的Heegaard亏格至多为2.
Using alternating Heegaard diagrams, we construct some 3-manifolds which admit diffeomorphisms such that the non-wandering sets of the diffeomorphisms are composed of Smale–Williams solenoid attractors and repellers. An interesting example is the truncated-cube space. In addition, we prove that if the nonwandering set of the diffeomorphism consists of genus two Smale–Williams solenoids, then the Heegaard genus of the closed manifold is at most two.