Let $a,b \geq 1$. I want to find deformation restract from $SO(a,b)$ to $SO(a) \times SO(b)$. Obviously, $SO(a)\times SO(b)$ can be included as $SO(a,b)$ via simple block form. But how to construct the deformation retract of them?
2026-05-17 08:28:47.1779006527
Deformation retraction from $SO(a,b)$ to $SO(a) \times SO(b)$
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