A note on the second Gaussian curvature of the helicoidal surfaces

Cho, Bong-Sik (Division of Mathematics and Informational Statistics, Wonkwang University) ;
Seo, You-Mi (Division of Mathematics and Informational Statistics, Wonkwang University)

We define the second Gausssian curvature $K_{II}$ by using Brioschi's formula and shall disscuss the helicoidal surfaces satisfying $K_{II}$=Η.

Arch. Math. v.68 On the inner curvature of the second fundamental form of helicoidal surfaces Baikoussis, C.;Koufogiorgos, T.
Geom. J. v.63 Helicoidal surfaces with prescribed mean Gaussian curvature Baikoussis, C.;Koufogiorgos, T.
Monatoh. Math. v.113 Ruled surfaces with vanishing second Gauussian curvature Blair, D. E.;Koufogiorgos, T.
Tohoku Math. J. v.34 Helicoidal surfaces with constant mean curvature Do Carmo, M.;Dajczer, M.
Modern Differential Deometry of Curves and Surfaces Gray, A
Proc. Amer. Math. Soc. v.67 A characteristic property of the sphere Hasanis, T.;Koufogiorgos, T.