Details

Autor(en) / Beteiligte

• Baba-Hamed, Chahrazede

Titel

Helicoidal surfaces satisfying ΔIIG=f(G+C)

Ist Teil von

• Journal of geometry, 2016, Vol.107 (3), p.523-532

Ort / Verlag

Cham: Springer International Publishing

Erscheinungsjahr

2016

Link zum Volltext

Quelle

SpringerNature Journals

Beschreibungen/Notizen

• In this paper, we study helicoidal surfaces without parabolic points in Euclidean 3-space R 3 , satisfying the condition Δ I I G = f ( G + C ) , where Δ I I is the Laplace operator with respect to the second fundamental form, f is a smooth function on the surface and C is a constant vector. Our main results state that helicoidal surfaces without parabolic points in R 3 which satisfy the condition Δ I I G = f ( G + C ) , coincide with helicoidal surfaces with non-zero constant Gaussian curvature.