In this paper, the concepts concerning the space curves of constant breadth were extended to E^4 -space. The integral of third curvature of the curve was obtained as (bak) \sigmads = 2k7\pi(k E Z) . In addition, the relation (bak) g(\kappa, \tau, \sigma)ds = O was obtained between the curvatures of curves of constant breadth in E^4 . Key words and phrases: Curvature, Constant Breadth, Integral characterization of Curve, Spherical Curves.
MAĞDEN, Abdullah and KÖSE, Ömer (1997) "On The Curves of Constant Breadth In E^4 Space," Turkish Journal of Mathematics: Vol. 21: No. 3, Article 3. Available at: https://journals.tubitak.gov.tr/math/vol21/iss3/3