Tubular Surfaces Around Timelike Biharmonic Curves in Lorentzian Heisenberg Group Heis3

Talat Körpinar; Essin Turhan

doi:10.2478/v10309-012-0029-0

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Tubular Surfaces Around Timelike Biharmonic Curves in Lorentzian Heisenberg Group Heis3

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 20 (2012): Issue 1 (May 2012)

By: Talat Körpinar and Essin Turhan

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.

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