SEMIPARALLEL WINTGEN IDEAL SURFACES IN E-n

BULCA B., ARSLAN K.

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, cilt.67, sa.5, ss.613-622, 2014 (SCI-Expanded) 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 E-4 form an important family of surfaces, namely surfaces with circular ellipse of curvature. Obviously, Wintgen ideal surfaces satisfy the pointwise equality K + vertical bar K-N vertical bar = parallel to H parallel to(2). In the present study we consider the Wintgen ideal surfaces in n-dimensional Euclidean space E-n. We have shown that Wintgen ideal surfaces in E-n satisfying the semiparallelity condition (R) over bar (X, Y) . h = 0 are of flat normal connection. Further, we obtain some results in E-4.