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

Düldül M., Akbaba O.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 226
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.amc.2013.10.083
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.516-527
  • Anahtar Kelimeler: Intersection curve, Transversal intersection, Curvatures, Willmore's method, DIFFERENTIAL GEOMETRY, CURVES, CURVATURE, FORMULAS
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.