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

A. Z. Ali; Yu. L. Sachkov

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

Differential Geometry 2026-07-13 v1

Authors: A. Z. Ali , Yu. L. Sachkov

Abstract

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

Keywords

sectional curvature Lorentzian manifold structure functions pseudo-Riemannian geometry

Cite

@article{arxiv.2607.11610,
  title  = {Sectional Curvature and Structural Functions of a Two-Dimensional or Three-Dimensional Lorentzian Manifold},
  author = {A. Z. Ali and Yu. L. Sachkov},
  journal= {arXiv preprint arXiv:2607.11610},
  year   = {2026}
}