Hermitian Symmetric Space
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a Hermitian symmetric space is a Kähler manifold M which, as a Riemannian manifold, is a Riemannian symmetric space. Equivalently, M is a Riemannian symmetric space with a parallel complex structure with respect to which the Riemannian metric is Hermitian. The complex structure is automatically preserved by the isometry group H of the metric, and so M is a homogeneous complex manifold. Some examples are complex vector spaces and complex projective spa...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a Hermitian symmetric space is a Kähler manifold M which, as a Riemannian manifold, is a Riemannian symmetric space. Equivalently, M is a Riemannian symmetric space with a parallel complex structure with respect to which the Riemannian metric is Hermitian. The complex structure is automatically preserved by the isometry group H of the metric, and so M is a homogeneous complex manifold. Some examples are complex vector spaces and complex projective spaces, with their usual Hermitian metrics and Fubini-Study metrics, and the complex unit balls with suitable metrics so that they become complete and Riemannian symmetric.
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