亏格3中一类平面的极小性和非遍历性
Minimality and nonergodicity on a family of flat surfaces in genus 3
摘要：
我们证明了亏格3中的某类平面不满足Veech二分性。这些平面提供了无数个最小但非遍历的方向。这个族的条件是一个组合条件和一个非理性条件。Arnoux-Yoccoz曲面满足这些条件。
英文摘要：
We prove that a certain family of flat surfaces in genus 3 does not fulfill Veech's Dichotomy. These flat surfaces provide uncountably many minimal but nonergodic directions. The conditions on this family are a combinatorical one and an irrationality condition. The Arnoux-Yoccoz surface fulfills this conditions.
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