Mathematische Annalen

, Volume 361, Issue 3–4, pp 1043–1048 | Cite as

Compact homogeneous lcK manifolds are Vaisman

Article

Abstract

We prove that any compact homogeneous locally conformally Kähler manifold has parallel Lee form.

References

  1. 1.
    Hasegawa, K., Kamishima, Y.: Locally conformally Kähler structures on homogeneous spaces. arXiv:1101.3693v10 (2013)
  2. 2.
    Hasegawa, K., Kamishima, Y.: Compact homogeneous locally conformally Kähler manifolds. arXiv:1312.2202v1 (2013)
  3. 3.
    Moroianu, A., Ornea, L.: Homogeneous locally conformally Kähler manifolds. arXiv:1311.0671v1 (2013)

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.CMLS, Ecole Polytechnique, UMR 7640 du CNRSPalaiseauFrance
  2. 2.Université de Versailles-St. Quentin, Laboratoire de Mathématiques, UMR 8100 du CNRSVersaillesFrance
  3. 3.Univ. of Bucharest, Faculty of MathematicsBucharestRomania
  4. 4.Institute of Mathematics “Simion Stoilow” of the Romanian AcademyBucharestRomania

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