BIHARMONIC CURVES IN FINSLER SPACES
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Biharmonic curves are a generalization of geodesics, with ap- plications in elasticity theory and computer science. The paper proposes a first study of biharmonic curves in spaces with Finslerian geometry, cov- ering the following topics: a deduction of their equations, specific prop- erties 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.
Abstract
Biharmonic curves are a generalization of geodesics, with ap- plications in elasticity theory and computer science. The paper proposes a first study of biharmonic curves in spaces with Finslerian geometry, cov- ering the following topics: a deduction of their equations, specific prop- erties 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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