A family of Einstein Randers metrics

Abstract

Using Hawking Taub-NUT metric $g_a$ on ${\mathbf{R}}^4$, where $a$ is a positive real number and finding a 4-parameter family of Killing vector fields of $({\mathbf{R}}^4,g_a)$, we construct a 5-parameter family of Einstein Randers metrics with non-constant flag curvature.

7 pages

References in corpus (2)

• The induced representation of the isometry group of the Euclidean Taub-NUT space and new spherical harmonics
• The Explicit Construction of Einstein Finsler Metrics with Non-Constant Flag Curvature

Cited by in corpus (1)

• Non-Riemannian Einstein-Randers metrics on $E_6/A_4$ and $E_6/A_1$