• Title/Summary/Keyword: left-invariant affinely flat structure

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Developing maps of affinely flat lie groups

  • Kim, Hyuk
    • Bulletin of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.509-518
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    • 1997
  • In this paper, we study the developing maps of the Lie groups with left-invariant affinely flat structures. We make some bacis observations on the nature of the developing images and show that the developing map for an incomplete affine structure splits as a product of a covering map of codimension 1 and a diffeomorphism of dimension 1.

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