lorentzian geometry 2curvature 1curvature formulas 1geodesics 1geometric control 1lie groups 1low-dimensional manifolds 1pseudo-riemannian manifolds 1sectional curvature 1su(2 1
From the 2 of 3 linked papers with an AI index.
3 papers
math.DG2026
Sectional Curvature and Structural Functions of a Two-Dimensional or Three-Dimensional Lorentzian Manifold
A. Z. Ali, Yu. L. Sachkov
The paper derives an explicit formula for the sectional curvature of any smooth two‑ or three‑dimensional manifold equipped with a Lorentzian metric.
math.DG2026
The Lorentzian Problem on the Group
A. Z. Ali, Yu. L. Sachkov
The paper studies a left‑invariant Lorentzian metric on the Lie group SU(2), investigating controllability, existence of length‑maximizing curves, extremal trajectories, and curvat…
math.DG2025
Sectional curvature and structure functions of a two-dimensional Lorentzian manifold
A. Z. Ali, Yu. L. Sachkov
In this note we obtain a formula for the sectional curvature on an arbitrary two-dimensional smooth manifold equipped with a Lorentzian metric .