[math-fun] Embedding and curvature

A sphere can be embedded into Euclidean 3-space. Can a lower-curvature space always be embedded in a space with higher curvature and more dimensions? I.e. could a hyperbolic surface with constant curvature 1 be embedded in a three-dimensional hyperbolic space with constant curvature 2? -- Mike Stay - metaweta@gmail.com http://www.cs.auckland.ac.nz/~mike http://reperiendi.wordpress.com