Semiparallel wintgen ideal surfaces in En

BULCA B., ARSLAN K.

Comptes Rendus de L'Academie Bulgare des Sciences, cilt.67, sa.5, ss.613-622, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 67 Sayı: 5
  • Basım Tarihi: 2014
  • Dergi Adı: Comptes Rendus de L'Academie Bulgare des Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.613-622
  • Anahtar Kelimeler: normal curvature, Wintgen ideal surface, superconformal surface, semiparallel surface, DESZCZ SYMMETRIES
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

Wintgen ideal surfaces in E4 form an important family of surfaces, namely surfaces with circular ellipse of curvature. Obviously, Wintgen ideal surfaces satisfy the pointwise equality K + |Kn|=||H||2. In the present study we consider the Wintgen ideal surfaces in n-dimensional Euclidean space En. We have shown that Wintgen ideal surfaces in En satisfying the semiparallelity condition R(X, Y) h = 0 are of flat normal connection. Further, we obtain some results in E4.