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Almost geodesic on non complete manifolds

Start with the plane $\mathbb R^2$ and remove a slab, but keep a line going through the slab: $$ Slab = \{(x, y) \in \mathbb R^2 : 0 < y < 1, x \neq 0\} $$ $$ M = \mathbb R^2 - Slab$$ y --------o-- …
Tim Carson's user avatar