学术报告（黄曼子 12.29）

摘要：In this talk, we will show the questions proposed by Heinonen  (Rev. Math. Iber., 1989) and Gehring, Hag, Martio (Math. Scand., 1989), and we will give two sufficient conditions for quasi-geodesics in a John domain to be cone arcs. As an application, we give two equivalent characterizations for John domains to be inner uniform in Banach spaces, which gives an affirmative answer to an open problem proposed by Vaisala in 2004.