<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></abstract>

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.

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"A gradient-type deformation of conics and a class of Finslerian flows"}

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...

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

Published Online: Sep 21, 2017

Page range: 85 - 99

Received: Jun 01, 2016

Accepted: Jun 27, 2016

DOI: https://doi.org/10.1515/auom-2017-0022

Keywords
conic, invariant, Finsler fundamental function, deformation, Finslerian flow

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Sep 21, 2017

Page range: 85 - 99

Received: Jun 01, 2016

Accepted: Jun 27, 2016

DOI: https://doi.org/10.1515/auom-2017-0022

Keywordsconic, invariant, Finsler fundamental function, deformation, Finslerian flow

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
conic, invariant, Finsler fundamental function, deformation, Finslerian flow