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Results tagged with symmetric-spaces
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user 20516
A symmetric space is a connected Riemannian manifold in which at every point there exists a global self-isometry whose differential at the given point is minus identity.
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Linear symmetric spaces are spaces with ''orthogonal complements''?
The collection of marked unimodular lattices in the euclidean $n$-space corresponds to the symmetric space $S_n:=SO_n(\mathbb{R}) \backslash SL_n(\mathbb{R})$.
I have only recently been made aware t …
- 2,274
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Linear symmetric spaces are spaces with ''orthogonal complements''?
Finally, i understand the answer! It is Hermann's Convexity Theorem -- and Harish-Chandra's canonical embedding, which proves that EVERY symmetric space (of noncompact type) is conformally equivalent …
- 2,274