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Hermitian left invariant metrics on complex Lie groups and cosymplectic Hermitian manifolds
1986A Hermitian complex manifold is called cosymplectic if its Kähler form is coclosed. The authors prove that on any unimodular, complex Lie group there exists a cosymplectic Hermitian, left invariant metric and then use this result to prove that a compact, parallelizable, complex manifold can be endowed with a cosymplectic Hermitian structure.
ABBENA, Elsa, A. Grassi
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