On a projectively invariant pseudo-distance in Finsler geometry-Reference-Cited by-同舟云学术

On a projectively invariant pseudo-distance in Finsler geometry

Published:2015-04 Issue:04 Volume:12 Page:1550043
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Bidabad Behroz¹,Sepasi Maryam²

Affiliation:

1. Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Hafez Av. Tehran 15914, Iran

2. Faculty of Science, Islamic Azad University of Shiraz, Sadra, Shiraz 71993, Iran

Abstract

Here, a nonlinear analysis method is applied rather than classical one to study projective changes of Finsler metrics. More intuitively, a projectively invariant pseudo-distance is introduced and characterized with respect to the Ricci tensor and its covariant derivatives.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887815500437

Reference16 articles.

1. On a projectively invariant distance on Finsler spaces of constant negative Ricci scalar

2. On the projective geometry of paths

3. On the Projective and Equi-Projective Geometries of Paths

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