Some Results On The Infinitesimal Bending And The Bonnet Problem


KANBAY F.

9th International Physics Conference of the Balkan-Physical-Union (BPU), İstanbul, Türkiye, 24 - 27 Ağustos 2015, cilt.1722 identifier identifier

  • Cilt numarası: 1722
  • Doi Numarası: 10.1063/1.4944271
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye

Özet

The infinitesimal bending problem and the Bonnet problem are investigated together. The conditions for a surface and its infinitesimal deformation surface to be a Bonnet pair are examined. It is shown that Bonnet pairs which can be infinitesimally bending of each other, are only the isothermic Bonnet surfaces; and the relation of the geodesic torsions of the A-net and Bonnet net of them is determined as t = 2 (t) over bar (e) and it is found that their associate surface is also an isothermic surface.