Elgendi, Salah G. (2024) A new look at Finsler surfaces and Landsberg’s PDE. Miskolc Mathematical Notes, 25 (1). pp. 209-223. ISSN 1787-2413
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Official URL: https://doi.org/10.18514/MMN.2024.4390
Abstract
In this paper, we introduce a new look at Finsler surfaces. Landsberg surfaces are Finsler surfaces that are solutions of a system of non-linear partial differential equations. Considering the unicorn’s Landsberg problem, we reduce this system to a single non-linear PDE which we call the Landsberg’s PDE. By making use of the new look of Finsler surfaces, we solve the Landsberg’s PDE and get a class of solutions. Moreover, we show that these solutions and their conformal transformations are Berwaldain.
Item Type: | Article |
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Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
Depositing User: | Kotegelt Import |
Date Deposited: | 04 Jun 2024 09:30 |
Last Modified: | 04 Jun 2024 09:30 |
URI: | https://real.mtak.hu/id/eprint/196483 |
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