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Tubular Surfaces Around Timelike Biharmonic Curves in Lorentzian Heisenberg Group Heis3 Cover

Tubular Surfaces Around Timelike Biharmonic Curves in Lorentzian Heisenberg Group Heis3

Open Access
|May 2013

Abstract

In this paper, we describe a new method for constructing a tubular surface surrounding a timelike biharmonic curve in the Lorentzian Heisenberg group Heis3. Firstly, we characterize timelike biharmonic curves in terms of their curvature and torsion. Also, by using timelike biharmonic curves, we give explicit parametrizations of tubular surfaces in the Lorentzian Heisenberg group Heis3.

DOI: https://doi.org/10.2478/v10309-012-0029-0 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 431 - 446
Published on: May 17, 2013
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year

© 2013 Talat Körpinar, Essin Turhan, published by Ovidius University of Constanta
This work is licensed under the Creative Commons License.