Surfaces with H^2 = K along a given curve

Köse B., Bayram E.

International Geometry Symposium In Honor of Prof. Dr. Aysel TURGUT VANLI, Tunceli, Turkey, 1 - 02 July 2024, pp.37-38, (Summary Text)

  • Publication Type: Conference Paper / Summary Text
  • City: Tunceli
  • Country: Turkey
  • Page Numbers: pp.37-38
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

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