A criterion for holomorphic families of Riemann surfaces to be virtually isomorphic

作者：Miyachi Hideki^*

来源：Proceedings of the Japan Academy Series A-Mathematical Sciences, 2015, 91(10): 151-154.

DOI：10.3792/pjaa.91.151

• Holomorphic family
• Teichmuller space
• Teichmuller modular group
• Teichmuller distance

In this paper, we give a rigidity theorem for holomorphic disks associated to holomorphic families of Riemann surfaces, aiming for studying the geometry (the asymptotic boundary behaviors) of such holomorphic disks. Indeed, our rigidity theorem is described with distributions of associated holomorphic disks and orbits of monodromies at infinity.

• 出版日期2015-12