Hermitian Left Invariant Metrics on Complex Lie Groups and Cosymplectic Hermitian Manifolds
Hermitian Left Invariant Metrics on Complex Lie Groups and Cosymplectic Hermitian Manifolds
A 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.
- University of Turin Italy
cosymplectic structure, cosymplectic Hermitian structure, Global differential geometry of Hermitian and Kählerian manifolds, Complex Lie groups, group actions on complex spaces, General properties and structure of complex Lie groups, complex Lie group
cosymplectic structure, cosymplectic Hermitian structure, Global differential geometry of Hermitian and Kählerian manifolds, Complex Lie groups, group actions on complex spaces, General properties and structure of complex Lie groups, complex Lie group
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