On Characterization of Time-Like Horizontal Biharmonic Curves in the Lorentzian Heisenberg Group Heis3
Year: 2010
Type: article
Abstract: In this paper, we study energy of time-like horizontal biharmonic curves in the Lorentzian Heisenberg group Heis3. We characterize the biharmonic curves in terms of their curvature and torsion. We prove that all of the biharmonic curves are helices. Finally, we study the mechanics of biharmonic curves and provide conditions for energy of horizontal biharmonic curves
Source: Zeitschrift für Naturforschung A
Authors: Essin Turhan, Talat Körpinar
Institution: Fırat University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,712
OpenAlex ID: W2050837829