Abstract
In this paper, we study quadric surfaces in the 3-dimensional Euclidean space which are of finite $III$-type, that is, they are of finite type, in the sense of B.-Y. Chen, corresponding to the third fundamental form. We show that helicoids and spheres are the only quadric surfaces of finite $III$-type.
Citation
Hassan Al-Zoubi. Mutaz Al-Sabbagh. Stylianos Stamatakis. "On surfaces of finite Chen $III$-type." Bull. Belg. Math. Soc. Simon Stevin 26 (2) 177 - 187, june 2019. https://doi.org/10.36045/bbms/1561687560
Information
