arXiv subjects
Publications and source records attributed to Semail Ulgen.
In this paper, we study a special class of Finsler metrics, $(α,β)$-metrics, defined by $F = αϕ(\fracβα)$, where $α$ is a Riemannian metric and $β$ is a 1-form. We find an equation that characterizes Ricci-flat $(α,β)$-metrics under the condition that the length of $β$ with respect to $α$ is constant.
Spherically symmetric metrics form a rich and important class of metrics. Many well-known Finsler metrics of constant flag curvature can be locally expressed as a spherically symmetric metric on R^n. In this paper, we study spherically symmetric metrics with constant Ricci curvature and constant flag curvature.