The Anti-de Sitter space is $AdS_n=\frac{O(2,n-1)}{O(1,n-1)}$, as a homogeneous symmetric space.
Is the space connected or not, especially for $n=2$?
Is there a general method to judge that?
2026-03-25 04:57:29.1774414649
Is $\frac{O(2,1)}{O(1,1)}$ connected?
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