Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Asymptotically quasiconformal four manifolds
Tsuyoshi Kato
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2012 年 64 巻 2 号 p. 423-487

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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.
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© 2012 The Mathematical Society of Japan
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