대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제9권2호
  • /
  • Pages.415-418
  • /
  • 1994
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

EQUIVARIANT VECTOR BUNDLES OVER $S^1$

  • Kim, Sung-Sook (Department of Applied Mathematics Paichai University)
  • 발행 : 1994.04.01
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초록

Let G be a compact Lie group and let $S^1$ denote the unit circle in $R^2$ with the standard metric. Since every smooth compact Lie group action on $S^1$ is smoothly equivalent to a linear action (cf. [3J TH 2.0), we may think of $S^1$ with a smooth G-action as S(V) the unit circle of a real 2-dimensional orthogonal G-module V.(omitted)

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