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Compact homogeneous lcK manifolds are Vaisman


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

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This work was partially supported by the LEA Math-Mode.

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Correspondence to Paul Gauduchon.

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Gauduchon, P., Moroianu, A. & Ornea, L. Compact homogeneous lcK manifolds are Vaisman. Math. Ann. 361, 1043–1048 (2015).

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  • Manifold
  • Vector Field
  • Linear Isomorphism
  • Hermitian Structure
  • Hermitian Manifold