Surfaces with <i>H</i><SUP>2</SUP> = K along a given curve

Kose B., Bayram E.

FILOMAT, cilt.40, sa.3, ss.1015-1022, 2026 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 3
  • Basım Tarihi: 2026
  • Doi Numarası: 10.2298/fil2603015k
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1015-1022
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In the present paper, we handle the problem of construction of surfaces with a given curve whose squared mean curvature is equal to the Gaussian curvature, that is H-2 = K, along the given curve. We express surfaces parametrically possessing the given curve and obtain conditions for the coefficient functions to satisfy H-2 = K along the curve. The theory is validated by illustrative examples..