|May28-12, 08:06 AM||#18|
Does the metric tensor only depend on the coordinate system used?
- Another surface that can be embedded in R^4 but not in R^3 is the Projective plane.
- Try proving that a closed surface in R^3 must be orientable. It follows from this that neither the Klein bottle nor the Projective plane can be embedded in R^3.
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