Tangentially cubic submanifolds of Em

Abstract

In the present study we consider the submanifold M of E-m satisfying the condition Delta H, e(i) = 0, where H is the mean curvature of M and e(i) is an element of TM. We call such submanifolds tangentially cubic. We proved that every null 2- type submanifold M of E-m is tangentially cubic. Further, we prove that the pointed helical geodesic surfaces of E-5 with constant Gaussian curvature are tangentially cubic.