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Neutral Calabi-Yau Structures on Kodaira Manifolds

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Abstract

We construct neutral Calabi-Yau metrics and hypersymplectic structures on some Kodaira manifolds. Our structures are symmetric with respect to the central tori.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Torino, via Carlo Alberto 10, 10123, Torino, Italy

    Anna Fino

  2. Institut for Matematik og Datalogi, SDU-Odense Universitet, Campusvej 55, Odense M, 5230, Denmark

    Henrik Pedersen & Marianne Weye Sørensen

  3. Department of Mathematics, University of California at Riverside, Riverside, CA 92521, U.S.A

    Yat-Sun Poon

Authors
  1. Anna Fino
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  2. Henrik Pedersen
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  3. Yat-Sun Poon
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  4. Marianne Weye Sørensen
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Corresponding author

Correspondence to Henrik Pedersen.

Additional information

Communicated by G.W. Gibbons

Partially supported by The European Contract HPRN-CT-2000-00101, MURST and GNSAGA (Indam) of Italy

Partially supported by The European Contract HPRN-CT-2000-00101

Partially supported by NSF

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Fino, A., Pedersen, H., Poon, YS. et al. Neutral Calabi-Yau Structures on Kodaira Manifolds. Commun. Math. Phys. 248, 255–268 (2004). https://doi.org/10.1007/s00220-004-1108-5

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  • DOI: https://doi.org/10.1007/s00220-004-1108-5

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