Abstract
It is known that the Bers map, induced by Schwarzian derivative differential operator, is a holomorphic split submersion in Weil-Petersson Teichmüller space. We prove that the higher Bers maps which induced by some higher Schwarzian differential operators in Weil-Petersson Teichmüller space are holomorphic and its differentials at the origin are bounded and surjective.
Citation
Shuan Tang. Jianjun Jin. "Higher Bers maps and Weil-Petersson Teichmüller space." Kodai Math. J. 41 (3) 554 - 565, October 2018. https://doi.org/10.2996/kmj/1540951253