Open Access
April, 2012 Asymptotically quasiconformal four manifolds
Tsuyoshi KATO
J. Math. Soc. Japan 64(2): 423-487 (April, 2012). DOI: 10.2969/jmsj/06420423

Abstract

We give a formulation of Yang-Mills gauge theory for open smooth four-dimensional manifolds whose ends are homeomorphic to S3 × [0,∞). We apply this formulation to the study of conformal structures of such manifolds. We introduce the notion of asymptotically quasiconformal homeomorphic manifolds and show that there exist manifolds which are mutually homeomorphic but not asymptotically quasiconformal homeomorphic.

Citation

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Tsuyoshi KATO. "Asymptotically quasiconformal four manifolds." J. Math. Soc. Japan 64 (2) 423 - 487, April, 2012. https://doi.org/10.2969/jmsj/06420423

Information

Published: April, 2012
First available in Project Euclid: 26 April 2012

zbMATH: 1250.57043
MathSciNet: MR2916075
Digital Object Identifier: 10.2969/jmsj/06420423

Subjects:
Primary: 57R57
Secondary: 53A30

Keywords: quasiconformal mappings , Yang-Mills theory

Rights: Copyright © 2012 Mathematical Society of Japan

Vol.64 • No. 2 • April, 2012
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