Sigurdur Helgason
The study of homogeneous spaces provides 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.
Science,Mathematics,Philosophy,Theory,Deception,Lie,Mathematics,Geometry,Mathematics,Algebra
Differential Geometry, Lie Groups and Symmetric Spaces