Unicorn metrics with almost vanishing ${\bf H}$- and ${\bf \Xi}$-curvatures

Authors

AKBAR TAYEBI
Tayebeh TABATABAEIFAR

Abstract

In this paper, we consider a class of almost regular $(\alpha, \beta)$-metrics constructed by Shen called unicorn metrics. First, we prove that every unicorn metric with almost vanishing ${\bf H}$-curvature is a Berwald metric. Then we show that every unicorn metric with almost vanishing $\Xi$-curvature reduces to a Berwald metric.

DOI

10.3906/mat-1606-35

Keywords

Unicorn metric, the non-Riemannian quantity ${\bf H}$, almost vanishing ${\bf \Xi}$-curvature

First Page

998

Last Page

1008

Recommended Citation

TAYEBI, A, & TABATABAEIFAR, T (2017). Unicorn metrics with almost vanishing ${\bf H}$- and ${\bf \Xi}$-curvatures. Turkish Journal of Mathematics 41 (4): 998-1008. https://doi.org/10.3906/mat-1606-35