ON R-QUADRATIC FINSLER METRICS

Document Type: Research Note

Authors

1 Department of Science, Shahed University, Tehran, I. R. of Iran

2 Department of Mathematics and Computer Science, Amir Kabir University, Tehran, I. R. of Iran

3 Department of Mathematics, Faculty of Science, The University of Qom, Qom, I. R. of Iran

Abstract

We prove that every R-quadratic metric of scalar flag curvature with a dimension greater than two
is of constant flag curvature. Then we show that generalized Douglas-Weyl metrics contain R-quadratic
metrics as a special case, but the class of R-quadratic metric is not closed under projective transformations

Keywords