engleski

Harmonic Evolutes of B-scrolls with Constant Mean Curvature in Minkowski Space

A ruled surface in 3-dimensional Minkowski space is a surface which can be parametrized by f(u, v)=c(u)+ve(u), where c(u) is a base curve and e(u) a non- vanishing vector field along c which generates the rulings v∈R. When c'(u), e(u) are both null, ruled surfaces are called the null- scrolls, or in the special case, the B- scrolls. In this presentation we investigate properties of harmonic evolutes of B-scrolls with constant mean curvature in Minkowski space and their relationship to null Bertrand curves. The harmonic evolute of a surface is the locus of points which are harmonic conjugates of a point of a surface with respect to its centers of curvature. The Bertrand curves are curves whose principal normals are the principal normals of another curve.

Minkowski space, harmonic evolute, B-scroll, Bertrand curve

nije evidentirano