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

Mircea Crasmareanu

doi:10.1515/auom-2017-0022

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 25 (2017): Issue 2 (July 2017)

By: Mircea Crasmareanu

Open Access

|Sep 2017

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.

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Articles in this issue

DOI: https://doi.org/10.1515/auom-2017-0022 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 85 - 99

Submitted on: Jun 1, 2016

Accepted on: Jun 27, 2016

Published on: Sep 21, 2017

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

conic,

invariant,

Finsler fundamental function,

Related subjects:

© 2017 Mircea Crasmareanu, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 25 (2017): Issue 2 (July 2017)