ON IMPLICIT SURFACES AND THEIR INTERSECTION CURVE IN EUCLIDEAN 4-SPACE

摘要

This paper aims at studying the differential geometry properties of the tangential intersection curve of three implicit surfaces in Euclidean 4-space E~4. These properties include the tangent T, the principle normal N, the binormal vectors (B_1,B_2) and the curvatures (κ,τ,σ) of that curve. Furthermore, we give examples to illustrate our main results.