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Start Over Subject Apollonian metric

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

Creator:
Boskoff, Wladimir G. and Suceavă, Bogdan D.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Riemannian metrics, Finslerian metrics, Lagrangian metrics, Lagrange generalized metrics, Barbilian's metrization procedure, and Apollonian metric
Language:
English
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
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public