English

Sectional curvature and structure functions of a two-dimensional Lorentzian manifold

Differential Geometry 2025-07-10 v1

Abstract

In this note we obtain a formula for the sectional curvature on an arbitrary two-dimensional smooth manifold MM equipped with a Lorentzian metric gg.

Keywords

Cite

@article{arxiv.2507.06591,
  title  = {Sectional curvature and structure functions of a two-dimensional Lorentzian manifold},
  author = {A. Z. Ali and Yu. L. Sachkov},
  journal= {arXiv preprint arXiv:2507.06591},
  year   = {2025}
}

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