JOURNAL ARTICLE

Periodic geodesics in singular spaces.

  • Published In: Journal of Topology & Analysis, 2026, v. 18, n. 1. P. 93 1 of 3

  • Database: Mathematics Source 2 of 3

  • Authored By: Papasoglu, Panos; Swenson, Eric 3 of 3

Abstract

In this paper, we extend the classical result of Lyusternik and Fet on the existence of closed geodesics to singular spaces. We show that if X is a compact geodesic metric space satisfying the CAT(κ) condition for some fixed κ > 0 and π n (X) ≠ 0 for some n > 0 then X has a periodic geodesic. This condition is satisfied for example by locally CAT(κ) manifolds. Our result applies more generally to compact locally uniquely geodesic spaces. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Journal of Topology & Analysis. 2026/02, Vol. 18, Issue 1, p93
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2026
  • ISSN:1793-5253
  • DOI:10.1142/S1793525324500225
  • Accession Number:191501859
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