Non-null helicoidal surfaces as non-null Bonnet surfaces

Authors

  • Abdullah Inalcık Artvin Coruh University, Faculty of Arts and Sciences, Department of Mathematics, Artvin, Turkey Author
  • Soley Ersoy Sakarya University, Faculty of Arts and Sciences, Department of Mathematics, Sakarya, 54187 Turkey Author

Keywords:

Bonnet surface, helicoidal surface, Lorentz space form

Subjects:

53A10, 53B30

Abstract

In this study, we obtain an equivalent of the Codazzi-Mainardiequations for spacelike and timelike surfaces in three dimensionalLorentz space $\Bbb{R}_1^3$. Also, we find necessary andsufficient conditions for spacelike and timelike helicoidalsurfaces with non-null axis to be Bonnet surfaces.

Downloads

Published

2016-07-15

Issue

Vol. 68 No. 3 (2016): Vol. 68, Issue 3

Section

Articles

License

Copyright (c) 2016 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.