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Harmonic morphisms from the Grassmannians and their non-compact duals

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Abstract

In this paper we give a unified framework for the construction of complex valued harmonic morphisms from the real, complex and quaternionic Grassmannians and their non-compact duals. This gives a positive answer to the corresponding open existence problem in the real and quaternionic cases.

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Authors and Affiliations

  1. Mathematics, Faculty of Science, Lund University, Box 118, S-22100, Lund, Sweden

    Sigmundur Gudmundsson & Martin Svensson

Authors
  1. Sigmundur Gudmundsson
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  2. Martin Svensson
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Corresponding author

Correspondence to Sigmundur Gudmundsson.

Additional information

Mathematics Subject Classifications (2000): 58E20, 53C43, 53C12

The author is a member of EDGE, Research Training Network HPRN-CT-2000-00101

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Gudmundsson, S., Svensson, M. Harmonic morphisms from the Grassmannians and their non-compact duals. Ann Glob Anal Geom 30, 313–333 (2006). https://doi.org/10.1007/s10455-006-9029-5

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  • DOI: https://doi.org/10.1007/s10455-006-9029-5

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