Non-convexity of extremal length

SAGMAN, Nathaniel

doi:10.54330/afm.138339

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Non-convexity of extremal length

SAGMAN, Nathaniel

2023 • In Annales Fennici Mathematici, 48 (2), p. 691-702

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https://hdl.handle.net/10993/58176

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10.54330/afm.138339

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Keywords :

General Mathematics

Abstract :

[en] With respect to every Riemannian metric, the Teichmüller metric, and the Thurston metric on Teichmüller space, we show that there exist measured foliations on surfaces whose extremal length functions are not convex. The construction uses harmonic maps to \(\mathbb{R}\)-trees and minimal surfaces in \(\mathbb{R}^n\).

Disciplines :

Mathematics

Author, co-author :

SAGMAN, Nathaniel ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)

External co-authors :

Language :

English

Title :

Non-convexity of extremal length

Publication date :

01 November 2023

Journal title :

Annales Fennici Mathematici

ISSN :

2737-0690

eISSN :

2737-114X

Publisher :

Finnish Mathematical Society

Volume :

Issue :

Pages :

691-702

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://afm.journal.fi/article/download/138339/86225

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since 29 November 2023

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Bibliography

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