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Hypercomplex limits of pluricomplex structures and the Euclidean limit of hyperbolic monopoles

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Abstract

We discuss the Euclidean limit of hyperbolic \(SU(2)\)-monopoles, framed at infinity, from the point of view of pluricomplex geometry. More generally, we discuss the geometry of hypercomplex manifolds arising as limits of pluricomplex manifolds.

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Authors and Affiliations

  1. Institut für Differentialgeometrie, Universität Hannover, Welfengarten 1, 30167 , Hannover, Germany

    Roger Bielawski

  2. Fakultät für Mathematik, TU Dortmund, 44221 , Dortmund, Germany

    Lorenz Schwachhöfer

Authors
  1. Roger Bielawski
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  2. Lorenz Schwachhöfer
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Correspondence to Roger Bielawski.

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Bielawski, R., Schwachhöfer, L. Hypercomplex limits of pluricomplex structures and the Euclidean limit of hyperbolic monopoles. Ann Glob Anal Geom 44, 245–256 (2013). https://doi.org/10.1007/s10455-013-9364-2

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  • DOI: https://doi.org/10.1007/s10455-013-9364-2

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