On Spherically Symmetric Landsberg Metrics

Abstract

ABSTRACT In this paper, we have studied spherically symmetric Landsberg metrics with isotropic E-curvature and isotropic S-curvature. In the first case we have shown that the metric reduces to a Berwald metric and therefore, it is of vanishing E-curvature. In the second case we have completely classified the spherically symmetric Landsberg metric with isotropic S-curvature.