Spherically symmetric Finsler metrics with Scalar Flag Curvature

Authors

WEIDONG SONG
FEN ZHOU

DOI

10.3906/mat-1311-59

Abstract

In this paper, we study spherically symmetric Finsler metrics F= y \phi( x ,\frac{}{ y }), where x \in B^n(r) \subset R^n, y \in T_xB^n(r)\{0} and \phi:[0,r)\times R \rightarrow R. By investigating a PDE equivalent to these metrics being locally projectively flat, we manufacture projectively flat spherically symmetric Finsler metrics in terms of error functions and, using Shen's result, we give its flag curvature.

Keywords

Spherically symmetric, locally projectively flat, scalar flag curvature, error function

First Page

16

Last Page

22

Recommended Citation

SONG, WEIDONG and ZHOU, FEN (2015) "Spherically symmetric Finsler metrics with Scalar Flag Curvature," Turkish Journal of Mathematics: Vol. 39: No. 1, Article 2. https://doi.org/10.3906/mat-1311-59
Available at: https://journals.tubitak.gov.tr/math/vol39/iss1/2