Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with symmetric-spaces
Search options answers only
not deleted
user 1059
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.
3
votes
Names of noncompact riemannian symmetric spaces?
The Riemannian noncompact duals of of Grassmannians and other Hermitian symmetric spaces possess names according to their realizations:
As bounded models: Cartan domains (4 classical and two excepti …
- 4,577
0
votes
"isotropic" subspaces of a simple Lie algebra
The two dimensional subspace of su(3) generated by the matrices (in the 3*3 defining representation) having ones on the (+-) second and third diagonals seems to satisfy this property. Probably, this c …
- 4,577
5
votes
Do symmetric spaces admit isometric embeddings as intersections of quadrics?
According to a theorem by: Dirk Ferus: Symmetric submanifolds of Euclidean space, Math. Ann. 247, 81-93 (1980); the symmetric spaces that admit isometric embedding into Rn are the symmetric R-spaces: …
- 4,577
6
votes
Accepted
Generalizing cosine rule to symmetric spaces
There exist generalizations of the trigonometry laws to symmetric spaces. The following article by Ortega and Santander works out the trigonometry laws for the case of real symmetric spaces of constan …
- 4,577