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Symmetric spaces

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Geometry, Differential. --- Symmetric spaces.

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Hermitian symmetric spaces are an important class of manifolds that can be studied with methods from Kähler geometry and Lie theory. This work gives an introduction to Hermitian symmetric spaces and their submanifolds, and presents classifi cation results for real hypersurfaces in these spaces, focusing on results obtained by Jürgen Berndt and Young Jin Suh in the last 20 years.

Hermitian symmetric spaces. --- Spaces, Hermitian symmetric --- Symmetric Hermitian spaces --- Symmetric spaces, Hermitian --- Complex manifolds

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This invaluable book provides a concise and systematic introduction to the theory of compact connected Lie groups and their representations, as well as a complete presentation of the structure and classification theory. It uses a non-traditional approach and organization. There is a proper balance between, and a natural combination of, the algebraic and geometric aspects of Lie theory, not only in technical proofs but also in conceptual viewpoints.

Lie groups. --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups

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Relativity (Physics). --- Spaces of constant curvature. --- Symmetric spaces. --- Symmetry (Physics).