We associate to every holomorphic function of one complex variable a semi-symmetric hypersurface in the fourdimensional Euclidean space. Under simple explicit conditions for this function the resulting Riemannian space is complete and of hyperbolic type (in the terminology of Szabớ).
"New explicit examples of complete semi-symmetric hypersurfaces of hyperbolic type." Tsukuba J. Math. 20 (1) 21 - 32, June 1996. https://doi.org/10.21099/tkbjm/1496162973