The extension of Willmore's method into 4-space

Duldul B., DÜLDÜL M.

MATHEMATICAL COMMUNICATIONS, cilt.17, sa.2, ss.423-431, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 2
  • Basım Tarihi: 2012
  • Dergi Adı: MATHEMATICAL COMMUNICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.423-431
  • Anahtar Kelimeler: implicit hypersurface, implicit curve, transversal intersection, curvatures, DIFFERENTIAL GEOMETRY, INTERSECTION CURVES, SURFACES
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

We present a new method for finding the Frenet vectors and the curvatures of the transversal intersection curve of three implicit hypersurfaces by extending the method of Willmore into four-dimensional Euclidean space.