- Turkish Journal of Mathematics
- Vol: 41 Issue: 4
- Unicorn metrics with almost vanishing ${\bf H}$- and ${\bf \Xi}$-curvatures
Unicorn metrics with almost vanishing ${\bf H}$- and ${\bf \Xi}$-curvatures
Authors : Akbar Tayebi, Tayebeh Tabatabaeifar
Pages : 998-1008
View : 7 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Unicorn metric, the non-Riemannian quantity ${f H}$, almost vanishing ${f Xi}$-curvature