Bull. Korean Math. Soc. 2015; 52(5): 1569-1578
Printed September 30, 2015
https://doi.org/10.4134/BKMS.2015.52.5.1569
Copyright © The Korean Mathematical Society.
Miekyung Choi and Dae Won Yoon
Gyeongsang National University, Gyeongsang National University
We study helicoidal surfaces with the non-degenerate third fundamental form in Minkowski $3$-space. In particular, we mainly focus on the study of helicoidal surfaces with light-like axis in Minkowski $3$-space. As a result, we classify helicoidal surfaces satisfying an equation in terms of the position vector field and the Laplace operator with respect to the third fundamental form on the surface.
Keywords: helicoidal surfaces, light-like axis, third fundamental form, Minkowski space
MSC numbers: Primary 53A35; Secondary 53B30
2009; 46(3): 567-576
2010; 47(4): 859-881
2018; 55(6): 1891-1908
2018; 55(4): 1103-1107
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd