A gradient-type deformation of conics and a class of Finslerian flows

作者：Crasmareanu Mircea^*

来源：Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, 2017, 25(2): 85-99.

DOI：10.1515/auom-2017-0022

• conic
• invariant
• Finsler fundamental function
• deformation
• Finslerian flow

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.

• 出版日期2017