Can a complete hyperbolic surface be isometrically embedded into flat $\mathbb R^4$?
2026-03-31 07:03:40.1774940620
Can a hyperbolic surface be isometrically embedded into $\mathbb R^4$?
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It is known that the hyperbolic plane can be isometrically immersed in $E^5$ (and isometrically embedded in $E^6$). Existence of an isometric immersion into $E^4$ is an open problem. Thus, the answer to your question is "unknown".