Timelike Bonnet surfaces in the Lorentzian 3-space

Authors

  • Filiz Kanbay Yildiz Technical University, Istanbul, Esenler, Turkey
  • Burcu Yüksekdağ Yildiz Technical University, Istanbul, Esenler, Turkey

DOI:

https://doi.org/10.3842/umzh.v77i3.8383

Keywords:

Bonnet surface, timelike surface, timelike helicoid, associate surface, A-net

Abstract

UDC 519.11

We generalize the criteria proposed by Z. Soyu\c{c}ok in the 3-dimensional Euclidean space to the Lorentz 3-space for the timelike surfaces. With an aid of this criterion we investigate nonisothermic timelike Bonnet surfaces and their associate surfaces. Finally, we consider the classification of helicoids proposed by Beneki, et al. We present nonisothermic timelike helicoids as examples illustrating our results.  Thus, they satisfy the conditions as timelike Bonnet surfaces. In addition, we present the isothermic timelike minimal helicoids.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 77, No. 3, 2025.

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Published

07.11.2025

Issue

Vol. 77 No. 3 (2025)

Section

Research articles

License

Copyright (c) 2025 Filiz Kanbay, Burcu Yüksekdağ

Creative Commons License

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

How to Cite

Kanbay, Filiz, and Burcu Yüksekdağ. “Timelike Bonnet Surfaces in the Lorentzian 3-Space”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 3, Nov. 2025, p. 232, https://doi.org/10.3842/umzh.v77i3.8383.