島根大学理学部紀要

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島根大学理学部紀要 24
1990-12-25 発行

R^3×S^1の共形的コンパクト化

Conformal Compactification of R^3×S^1
松永 弘道
ファイル
内容記述(抄録等)
 In this article a conformal compactification of the space R^3 x S^1 is obtained, (§2) . In §3 a decay property of the curvature is given, and in §4 the maximum principle is applied and we discuss removable singularities. In §3, 4 we depend heavily on the elaborated works by Uhlenbeck, [2] , [4]. The result of this article is used to study symmetry breaking at infinity [3].