Liviu Ornea and Radu Pantilie: On the local structure of generalized Kähler manifolds, p.347-353


Let $(g,b,J_+,J_-)$ be the bihermitian structure corresponding to a generalized Kähler structure. We find natural integrability conditions, in terms of the eigendistributions of $J_+J_-+J_-J_+$, under which db=0.

Key Words: generalized Kähler manifold.

2000 Mathematics Subject Classification: Primary: 53C55,
Secondary: 53C26.

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