R. MAZZOCCO and G. ROMANI

Multihelicoids in standard space of constant curvature

Pages: 163-174
Received: 5 February 1992
Mathematics Subject Classification: 53C42

Abstract We begin from a nicely curved submanifold M of a standard space M. We suppose the derivatives of all fundamental forms on M be equal to zero and we obtain a minimal submanifold R of M, foliated by totally geodesic submanifolds of M. Since, if dim M=1, M is just a curve with constant curvatures and R becomes the helicoid, associated to the curvature in the sense of, we call R a multihelicod.