Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 46, No. 2, pp. 513-521 (2005)

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Biharmonic curves in the generalized Heisenberg group

Dorel Fetcu

Department of Mathematics, Technical University, Ia\c si, Rom\^ ania, e-mail: dfetcu@math.tuiasi.ro

Abstract: We find the conditions under which a curve in the generalized Heisenberg group is biharmonic and non-harmonic. We give some existence and non-existence examples of such curves.

Keywords: Biharmonic curves, Heisenberg group

Classification (MSC2000): 53C43, 53C42

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Electronic version published on: 18 Oct 2005. This page was last modified: 2 Nov 2005.

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© 2005 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition