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

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica

Crasmareanu Mircea¹ 

[1] Faculty of Mathematics, University “Al. I.Cuza”, 700506 Iasi, Romania;

关键词: conic;    invariant;    finsler fundamental function;    deformation;    finslerian flow;    primary 53c60;    secondary 51mb04;   

DOI  :  10.1515/auom-2017-0022

来源: DOAJ

【 摘 要 】

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 ow is introduced, based on the previous deformation and we completely solve the corresponding particular case of Riemannian flow.

【 授权许可】

Unknown