Willmore-like methods for the intersection of parametric (hyper)surfaces

Düldül M., Akbaba O.

APPLIED MATHEMATICS AND COMPUTATION, vol.226, pp.516-527, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 226
  • Publication Date: 2014
  • Doi Number: 10.1016/j.amc.2013.10.083
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.516-527
  • Keywords: Intersection curve, Transversal intersection, Curvatures, Willmore's method, DIFFERENTIAL GEOMETRY, CURVES, CURVATURE, FORMULAS
  • Yıldız Technical University Affiliated: Yes


The aim of this paper is to obtain all Frenet apparatus of transversal intersection curves by giving new and easy applicable methods in three and four-dimensional Euclidean spaces. The methods includes a few operator which are obtained by using the idea of Willmore. By using these operators we obtain the Frenet vectors and curvatures of the transversal intersection curves of two (three) surfaces (hypersurfaces) in which at least one (hyper)surface is given parametrically. (C) 2013 Elsevier Inc. All rights reserved.