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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

A new proof that Teichmüller space is a cell


Authors: A. E. Fischer and A. J. Tromba
Journal: Trans. Amer. Math. Soc. 303 (1987), 257-262
MSC: Primary 32G15; Secondary 53C20, 58E20
MathSciNet review: 896021
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Abstract: A new proof is given, using the energy of a harmonic map, that Teichmüller space is a cell.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1987-0896021-3
PII: S 0002-9947(1987)0896021-3
Keywords: Teichmüller space, Dirichlet's functional, harmonic maps, holomorphic quadratic differentials, geometric methods
Article copyright: © Copyright 1987 American Mathematical Society