The extension of Willmore's method into 4-space
MATHEMATICAL COMMUNICATIONS, cilt.17, sa.2, ss.423-431, 2012 (SCI-Expanded, Scopus)
- 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.