The study of homogeneous spaces provides excellent insights into both differential geometry and Lie groups. In geometry, for instance, general theorems and properties will also hold for homogeneous spaces, and will usually be easier to understand and to prove in this setting. For Lie groups, a significant amount of analysis either begins with or reduces to analysis on homogeneous spaces, frequently on symmetric spaces. For many years and for many mathematicians, Sigurdur.
Differential Geometry, Lie Groups, and Symmetric Spaces (Graduate Studies in Mathematics) book
Differential Geometry, Lie Groups, and Symmetric Spaces (Graduate Studies in Mathematics) read online
Differential Geometry, Lie Groups, and Symmetric Spaces (Graduate Studies in Mathematics) download
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