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Abstract <p>We establish an interesting property of geodesics equations in signature changing (pseudo-Riemannian) 2D-metrics. On the way to it, we briefly present the main facts concerning singular points of such equations, as well as equations of a more general type, for which the notion of admissible directions appears.</p>

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The Cross-ratio at Singular Points of Geodesic Flows in Signature Changing Metrics

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • N. G. Pavlova,
  • A. O. Remizov

摘要

Abstract

We establish an interesting property of geodesics equations in signature changing (pseudo-Riemannian) 2D-metrics. On the way to it, we briefly present the main facts concerning singular points of such equations, as well as equations of a more general type, for which the notion of admissible directions appears.