Semi-Riemannian metrics on compact simple Lie Groups
Abdelghani Zeghib
TL;DR
This paper surveys the properties and classifications of left invariant semi-Riemannian metrics on compact Lie groups, highlighting their geometric structures and potential applications.
Contribution
It provides a comprehensive overview of semi-Riemannian metrics on compact Lie groups, summarizing known results and open problems in the field.
Findings
Classification of left invariant semi-Riemannian metrics
Analysis of geometric properties of these metrics
Identification of open research directions
Abstract
This is a survey on left invariant semi-Riemannian metrics on compact Lie groups.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Nonlinear Partial Differential Equations