Self-dual connections, hyperbolic metrics and harmonic mappings on Riemann surfaces

Nag, Subashis (1991) Self-dual connections, hyperbolic metrics and harmonic mappings on Riemann surfaces Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 101 (3). pp. 215-218. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/j_archive/mathsci/101/3/215-2...

Related URL: http://dx.doi.org/10.1007/BF02836803

Abstract

The Sampson-Wolf model of Teichmuller space (using harmonic mappings) is shown to be exactly the same as the more recent Hitchin model (utilizing self-dual connections). Indeed, it is noted how the self-duality equations become the harmonicity equations. An interpretation of the modular group action in this model is mentioned.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Teichmuller Space; Self-dual Connection; Hyperbolic Metric; Harmonic Maps
ID Code:33342
Deposited On:21 Mar 2011 14:09
Last Modified:17 May 2016 16:12

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