A gradient-type deformation of conics and a class of Finslerian flows
نویسنده
چکیده
The aim of this paper is to produce new examples of Riemannian and Finsler structures having as model a scalar deformation of conics inspired by the scaling transformation. It continues [4] from the point of view of relationship between quadratic polynomials (which provide equations of conics in dimension 2) and Finsler geometries. A type of Finslerian flow is introduced, based on the previous deformation and we completely solve the corresponding particular case of Riemannian flow.
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Examples of Conics Arising in Two - Dimensional Finsler and Lagrange Geometries ∗
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