A flat two-torus, $T^2$ that is the torus with Euclidean metric needs to be embedded at least in $\mathbb{R}^4$. If we puncture the torus and leave the Euclidean metric on it as inherited (ignoring the issues of completeness), what ambient space could you embed the punctured torus with Euclidean metric?
2026-05-16 01:45:01.1778895901
Embedding of punctured torus with euclidean metric
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