RULED SURFACES WITH ALTERNATIVE MOVING FRAME IN
EUCLIDEAN 3-SPACE

Recherche Scientifiques

RULED SURFACES WITH ALTERNATIVE MOVING FRAME IN EUCLIDEAN 3-SPACE

SOUKAINA OUARAB, AMINA OUAZZANI CHAHDI AND MALIKA IZID

Abstract

In this paper, we construct and study a special ruled surface with the alternative moving frame of its base curve in euclidean 3-space. We investigate the main characteristic properties of that ruled surface and characterize it in terms of its Gaussian curvature, mean curvature and striction curve in some special cases. Moreover, we presente a study with illustrations of this kind of ruled surfaces in the case where are generated by some important general and slant helices.

Publication-5

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