A potential for generalized Kähler geometry

  • Ulf Lindström

    Uppsala Universitet, Sweden
  • Martin Roček

    Stony Brook University, USA
  • Rikard von Unge

    Masaryk University, Brno, Czech Republic
  • Maxim Zabzine

    Uppsala Universitet, Sweden
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We show that, locally, in the neighbourhood of a regular point, all geometric objects of Generalized Kähler Geometry can be derived from a function K, the “generalized Kähler potential”. The metric g and two-form B are determined as nonlinear functions of second derivatives of K. These nonlinearities are shown to arise via a quotient construction from an auxiliary local product (ALP) space.