Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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BIHARMONIC CURVES IN FINSLER SPACES

  • Voicu, Nicoleta (Faculty of Mathematics and Computer Science Transilvania University)
  • Received : 2013.07.23
  • Published : 2014.11.01
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Abstract

Biharmonic curves are a generalization of geodesics, with applications in elasticity theory and computer science. The paper proposes a first study of biharmonic curves in spaces with Finslerian geometry, covering the following topics: a deduction of their equations, specific properties and existence of non-geodesic biharmonic curves for some classes of Finsler spaces. Integration of the biharmonic equation is presented for two concrete Finsler metrics.

Keywords

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