[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c170223

TUBES OF FINITE CHEN-TYPE

Al-Zoubi, Hassan (Department of Mathematics Al-Zaytoonah University of Jordan)
Jaber, Khalid M. (Department of Computer Science Al-Zaytoonah University of Jordan)
Stamatakis, Stylianos (Department of Mathematics Aristotle University of Thessaloniki)

Publication Information

Communications of the Korean Mathematical Society / v.33, no.2, 2018 , pp. 581-590 More about this Journal

Abstract

In this paper, we consider surfaces in the 3-dimensional Euclidean space $\mathbb{E}^3$ 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 present an important family of surfaces, namely, tubes in $\mathbb{E}^3$ . We show that tubes are of infinite III-type.

Keywords

surfaces in the Euclidean 3-space; surfaces of finite Chen-type; Beltrami operator;

Citations & Related Records

Reference

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