Higher Bers maps and Weil-Petersson Teichmüller space
キーワード:
Quasiconformal mapping,
Universal Teichmüller space,
Weil-Petersson space,
Higher Schwarzians,
Bers projection
2018 年 41 巻 3 号 p. 554-565
詳細
2018 年 41 巻 3 号 p. 554-565
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.
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