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Helicoidal surfaces in Minkowski space with constant mean curvature and constant Gauss curvature

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López R., Demir E.

Open Mathematics

2014

tom 12

nr 9

1349-1361

We classify all helicoidal non-degenerate surfaces in Minkowski space with constant mean curvature whose generating curve is a the graph of a polynomial or a Lorentzian circle. In the first case, we prove that the degree of the polynomial is 0 or 1 and that the surface is ruled. If the generating curve is a Lorentzian circle, we prove that the only possibility is that the axis is spacelike and the center of the circle lies on the axis.

Ograniczanie wyników

1 Open Mathematics

1 Demir E.

1 López R.

1 2014

Wyniki wyszukiwania

Helicoidal surfaces in Minkowski space with constant mean curvature and constant Gauss curvature