대한수학회지 (Journal of the Korean Mathematical Society)

  • 제51권6호
  • /
  • Pages.1105-1122
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  • 2014
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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BIHARMONIC CURVES IN FINSLER SPACES

  • Voicu, Nicoleta (Faculty of Mathematics and Computer Science Transilvania University)
  • 투고 : 2013.07.23
  • 발행 : 2014.11.01
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초록

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.

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참고문헌

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