Some characterizations of Euclidean Norms Among Minkowski Norms

Authors

  • Reza Chavosh Khatamy Department of Mathematics,Tabriz branch, Islamic Azad University, Tabriz, Iran
  • Dariush Latifi Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran
  • Parisa Bahmandoust Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran

DOI:

https://doi.org/10.37591/rrdms.v2i1.329

Keywords:

Minkowski norm, euclidean norm, indicatrix

Abstract

In this paper we study the geometry of indicatrix of Minkowski norms. We give in dimension three, two geometric characterizations of Euclidean norms among Minkowski norms.

Cite this Article
Reza Chavosh Khatamy, Dariush Latifi, Parisa Bahmandoust, Some character-izations of Euclidean norms among Minkowski norms. Research & Reviews: Discrete Mathematical Structures. 2015; 2(1): 15–19p.

Author Biography

  • Reza Chavosh Khatamy, Department of Mathematics,Tabriz branch, Islamic Azad University, Tabriz, Iran
    Departmant of Mathematics,

References

Bao D., S. Chern S. and Shen Z. An Introduction to Riemann-Finsler geometry, Springer-Verlag, New-York, 2000.

Khatamy R. Chavosh, Latifi D. On Symmetry Preserving Diffeomorphisms of Generalized Symmetric Finsler Spaces. Research and Reviews; Discrete Matematical Structure. 2014; 1(2): 1–4p.

Chern S. S., Shen Z., Riemann-Finsler geometry, Word Scientific. 2005.

Do Carmo M. P. Differential geometry of curves and surfaces. Prentice- Hall. 1976.

O’Neill B. Elementary Differential Geometry. Academic Press, New York.1966.

Shen Z. Volume comparison and its applications in Riemman-Finsler geometry. Advances in Math. 1997; 128: 306–328p.

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Published

2015-04-30

Issue

Vol. 2 No. 1 (2015)

Section

Research Articles

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