Is there a global isometric immersion of the 3-dimensional hyperbolic space into the 4-dimensional Euclidean space?
(I am aware of Hilbert's theorem, but that is on the embedding of $H^2$ in $E^3$. I have also seen the thesis of Brander 2003, but there I could not find an answer to my question. Furthermore, other posts in stackexchange do not refer to $H^3$ in $E^4$.)