From the 2 of 3 linked papers with an AI index.
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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.
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…
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 .
Lorentzian anti-de Sitter plane
A. Z. Ali, Yu. L. Sachkov
In this paper, we study a two-dimensional Lorentzian problem on the anti-de Sitter plane. Using methods of geometric control theory and differential geometry, it was possible to co…