Timeline for Does complexified isometry group act transitively on tangent bundle of compact Riemannian manifold?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 19, 2022 at 0:36 | comment | added | Ian Gershon Teixeira | Great answer! I'm still interested in generic Riemannian homogeneous manifolds but I'm really excited to see this result for symmetric spaces. Since the result that originally inspired me to ask about this was just tangent bundles of sphere, which are symmetric spaces, this answer is certainly sufficient to earn the bounty. Let me know if you have any thoughts on the non symmetric case, for example, a way to identify the tangent space of a Stiefel manifold with $ SO_n(\mathbb{C})/SO_{n-k}(\mathbb{C}) $. | |
| Jan 19, 2022 at 0:21 | history | bounty ended | Ian Gershon Teixeira | ||
| Jan 19, 2022 at 0:21 | vote | accept | Ian Gershon Teixeira | ||
| Jan 18, 2022 at 22:49 | history | answered | Johannes Huisman | CC BY-SA 4.0 |