Geometry of left invariant Randers metric on the Heisenberg group
Gh. Fasihi-Ramandi, S. Azami
TL;DR
This paper explores the geometric properties of left-invariant Randers metrics specifically on the Heisenberg group, contributing to the understanding of Finsler geometry on Lie groups.
Contribution
It provides a detailed analysis of the structure and characteristics of Randers metrics on the Heisenberg group, a topic not extensively covered before.
Findings
Characterization of left-invariant Randers metrics on the Heisenberg group
Insights into the geometric structure of these metrics
Potential applications in geometric analysis and physics
Abstract
In this paper, we investigate the geometry of left-invariant Randers metrics on the Heisenberg group.
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Taxonomy
TopicsAdvanced Differential Geometry Research