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Teichmüller Distance is not C 2+ε
Author(s) -
Rees Mary
Publication year - 2004
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/s0024611503014369
Subject(s) - mathematics , function (biology) , space (punctuation) , mathematics subject classification , type (biology) , gauge (firearms) , pure mathematics , combinatorics , mathematical analysis , geometry , computer science , geography , geology , archaeology , evolutionary biology , biology , paleontology , operating system
The Teichmüller space of a finite‐type surface is considered. It is shown that Teichmüller distance is not C 2 + ε for any ε > 0. Furthermore, Teichmüller distance is not C 2 + g for any gauge function g with lim inf u → 0 g ( u ) log ( 1 / u ) = 0 . 2000 Mathematics Subject Classification 30F60.