The conformal rotation number

DOI

Abstract

The rotation number of a planar closed curve is the total curvature divided by 2π. This is a regular homotopy invariant of the curve. We shall generalize the rotation number to a curve on a closed surface using conformal geometry of ambient surface. This conformal rotational number is not integral in general. We shall show the fractional part is relevant to harmonic 1-forms of the surface.

Journal

  • Kodai Mathematical Journal

    Kodai Mathematical Journal 38 (1), 166-171, 2015

    Department of Mathematics, Tokyo Institute of Technology

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Details 詳細情報について

  • CRID
    1390001205274223360
  • NII Article ID
    130005475891
  • DOI
    10.2996/kmj/1426684448
  • ISSN
    18815472
    03865991
  • Text Lang
    en
  • Data Source
    • JaLC
    • Crossref
    • CiNii Articles
    • KAKEN
  • Abstract License Flag
    Disallowed

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