Let $B$ be the unit closed ball in $\mathbb R^4$.
Is $B$ a solvmanifold. i.e., does there exist a solvable Lie group $G$ such that $G$ acts transitively on $B$?
Can $B$ be embedded as a CR-submanifold of codimension $2$ in $\mathbb C^3$?
2026-03-29 22:13:23.1774822403
The unit ball $B^4$ is homogeneous and imbedded in $\mathbb C^3$
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$B$ is a manifold with boundary: its interior is homeomorphic to $\mathbb R^4$ but neighbourhoods of boundary points are only homeomorphic to a half-space. So no group of continuous transformations can act transitively on it.