Timeline for Reference for homogeneous spaces
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Oct 14, 2016 at 18:31 | comment | added | Holonomia | I recommend the chapter "Homogeneous Spaces" in the book "Comparisons theorems in Riemannian geometry" by Cheeger&Ebin. Two classical books are Helgason's "Differential Geometry etc" and Vol II of Kobayashi&Nomizu "Foundations of Differential Geometry". | |
| Oct 14, 2016 at 11:52 | answer | added | Ben McKay | timeline score: 1 | |
| Oct 14, 2016 at 1:44 | comment | added | YCor | Your sentence "By definition" is unclear. This is not the definition. The definition is a $G$-invariant Riemannian metric on $G/H$. This is equivalent to the datum of a $Ad(H)$-invariant scalar product on $\mathfrak{g}/\mathfrak{h}$. When $H$ is connected the latter is the same as an $ad(\mathfrak{h})$-invariant scalar product on on $\mathfrak{g}/\mathfrak{h}$. | |
| Oct 14, 2016 at 1:39 | history | edited | YCor |
edited tags
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| S Oct 13, 2016 at 23:48 | history | suggested | C.F.G |
improve formatting
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| Oct 13, 2016 at 23:16 | review | Suggested edits | |||
| S Oct 13, 2016 at 23:48 | |||||
| Oct 13, 2016 at 23:12 | answer | added | C.F.G | timeline score: 3 | |
| Oct 13, 2016 at 22:59 | history | asked | Nick | CC BY-SA 3.0 |