Barbilian's metrization procedure in the plane yields either Riemannian or Lagrange generalized metrics

Title:

Barbilian's metrization procedure in the plane yields either Riemannian or Lagrange generalized metrics

Creator:

Boskoff, Wladimir G. and Suceavă, Bogdan D.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:4fab871d-3e6d-433f-8622-50a241526474
uuid:4fab871d-3e6d-433f-8622-50a241526474

Subject:

Riemannian metrics, Finslerian metrics, Lagrangian metrics, Lagrange generalized metrics, Barbilian's metrization procedure, and Apollonian metric

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In the present paper we answer two questions raised by Barbilian in 1960. First, we study how far can the hypothesis of Barbilian's metrization procedure can be relaxed. Then, we prove that Barbilian's metrization procedure in the plane generates either Riemannian metrics or Lagrance generalized metrics not reducible to Finslerian or Langrangian metrics

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

1059-1068

Source:

Czechoslovak Mathematical Journal | 2008 Volume:58 | Number:4

Harvested from:

CDK

Metadata only:

false