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

• Autorzy: Rafael López , Esma Demir
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Minkowski space; Helicoidad surface; Mean curvature; Gauss curvature

Kategorie tematyczne

• 53A10: Minimal surfaces, surfaces with prescribed mean curvature
• 53A35: Non-Euclidean differential geometry

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 9
• Strony: 1349-1361

Daty

wydano

2014-09-01

online

2014-05-08

Twórcy

autor

Rafael López

• Universidad de Granada

autor

Esma Demir

• Nevsehir University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-014-0415-0