The Explicit Construction of Einstein Finsler Metrics with Non-Constant Flag Curvature
Enli Guo, Xiaohuan Mo, Xianqiang Zhang
TL;DR
This paper presents an explicit method to construct a family of Einstein Finsler metrics with non-constant flag curvature using the Hawking Taub-NUT metric and navigation representation.
Contribution
It introduces a new explicit construction of Einstein Finsler metrics with non-constant flag curvature based on the Hawking Taub-NUT metric.
Findings
Constructed a 3-parameter family of Einstein Finsler metrics
Metrics exhibit non-constant flag curvature
Utilized navigation representation for explicit construction
Abstract
By using the Hawking Taub-NUT metric, this note gives an explicit construction of a 3-parameter family of Einstein Finsler metrics of non-constant flag curvature in terms of navigation representation.
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