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Generalized Kähler Manifolds, Commuting Complex Structures, and Split Tangent Bundles

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Abstract

We study generalized Kähler manifolds for which the corresponding complex structures commute and classify completely the compact four-dimensional ones.

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Authors and Affiliations

  1. Département de Mathématiques, UQAM, C.P. 8888, Succ. Centre-ville, Montréal (Québec), H3C 3P8, Canada

    Vestislav Apostolov

  2. M.I.T. Department of Mathematics, 77 Massachusetts Avenue, Cambridge, MA, 02139-4307, USA

    Marco Gualtieri

  3. Institute of Mathematics and informatics, Bulgarian Academy of Sciences, Acad. G. Boncher St. bl.8, 1113, Sofia, Bulgaria

    Vestislav Apostolov

Authors
  1. Vestislav Apostolov
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  2. Marco Gualtieri
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Correspondence to Vestislav Apostolov.

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Communicated by G.W. Gibbons.

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Apostolov, V., Gualtieri, M. Generalized Kähler Manifolds, Commuting Complex Structures, and Split Tangent Bundles. Commun. Math. Phys. 271, 561–575 (2007). https://doi.org/10.1007/s00220-007-0196-4

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  • DOI: https://doi.org/10.1007/s00220-007-0196-4

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