Infinitesimally extremal Beltrami differentials of non-landslide type

Abstract

In this paper, it is shown that there are infinitely many extremal Beltrami differentials of non-landside type and non-constant modulus in an infinitesimal equivalence class unless the class contains a unique extremal.

Keywords:

• Teichmüller space
• infinitesimally extremal
• non-landslide extremal

AMS Subject Classifications:

• Primary: 30C75
• 30C62

Notes

No potential conflict of interest was reported by the author.

Additional information

Funding

The author was supported by the National Natural Science Foundation of China [grant number 11271216].