Yuri L. Sachkov

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math.DG2026

Sectional Curvature and Structural Functions of a Two-Dimensional or Three-Dimensional Lorentzian Manifold

A. Z. Ali, Yu. L. Sachkov

We derive a formula for the sectional curvature on an arbitrary two-dimensional or three-dimensional smooth manifold equipped with a Lorentzian metric.

math.DG2026

The Lorentzian Problem on the Group $S U (2)$

A. Z. Ali, Yu. L. Sachkov

We consider a left-invariant Lorentzian problem on SU(2). The following questions are addressed: complete controllability, existence of length maximizers, extremals, curvature.

Sectional Curvature and Structural Functions of a Two-Dimensional or Three-Dimensional Lorentzian Manifold

The Lorentzian Problem on the Group SU(2)

The Lorentzian Problem on the Group $S U (2)$