<abstract xmlns="http://www.w3.org/1999/xhtml"> 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.</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.

Tubular Surfaces Around Timelike Biharmonic Curves in Lorentzian Heisenberg Group Heis3

Fırat University, Department of Mathematics, 23119, Elazı˘g, TURKEY

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Tubular Surfaces Around Timelike Biharmonic Curves in Lorentzian Heisenberg Group Heis

In this paper, we describe a new method for constructing a tubular surface surrounding a timelike biharmonic curve in the Lorentzian Heisenberg group Heis3....

Tubular Surfaces Around Timelike Biharmonic Curves in Lorentzian Heisenberg Group Heis³

Publié en ligne: 17 mai 2013

Pages: 431 - 446

DOI: https://doi.org/10.2478/v10309-012-0029-0

Mots clés
Tubular Surface,Biharmonic Curve, Heisenberg Group

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