Dear Professor Guler:

The anwser will dependent on the field and the ambient space. For instance, if you consider nonsingular algebraic hypersurfaces in a complex projective space, then every hypersface is a minimal one. So there is no restriction on degree,

Sincerely yours,

B. Y. Chen

Dear Professor Chen,

Thank you very much for your kindly answer.

Actually, I wonder for the minimal (n-1)-minimal hypersurfaces is there a Weierstrass representation in complex n-space or not ?