[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2015.52.4.1339

NON-DEVELOPABLE RULED SURFACES WITH TIMELIKE RULING IN MINKOWSKI 3-SPACE

YANG, YUN (DEPARTMENT OF MATHEMATICS NORTHEASTERN UNIVERSITY)
YU, YANHUA (DEPARTMENT OF MATHEMATICS NORTHEASTERN UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.52, no.4, 2015 , pp. 1339-1351 More about this Journal

Abstract

In this paper, using pseudo-spherical Frenet frame of pseudo-spherical curves in hyperbolic space, we define the notion of the structure functions on the non-developable ruled surfaces with timelike ruling. Then we obtain the properties of the structure functions and a complete classification of the non-developable ruled surfaces with timelike ruling in Minkowski 3-space by the theories of the structure functions.

Keywords

pseudo-spherical curve; Frenet formula; ruled surface; structure function; pitch function;

Citations & Related Records

Reference

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