A note on the density of a subset of all integrable holomorphic quadratic differentials

作者：Huo, Sheng Jin^*

来源：Acta Mathematica Sinica-English Series, 2014, 30(5): 793-796.

DOI：10.1007/s10114-014-3224-2

• Teichmuller space
• quadratic differential
• Hamilton sequence

Let T (0)(Delta) be the subset of the universal Teichmuller space, which consists all of the elements with boundary dilatation 1. Let SQ(Delta) be the unit ball of the space Q(Delta) of all integrable holomorphic quadratic differentials on the unit disk Delta and Q (0)(Delta) be defined as Q (0)(Delta) = {phi a SQ(Delta): there exists a k a (0, 1) such that }. In this paper, we show that Q (0)(Delta) is dense in SQ(Delta).

• 出版日期2014-5
• 单位天津工业大学