JOURNAL ARTICLE

A Basmajian-type inequality for Riemannian surfaces.

  • Published In: Journal of Topology & Analysis, 2026, v. 18, n. 4. P. 1199 1 of 3

  • Database: Mathematics Source 2 of 3

  • Authored By: Balacheff, Florent; Fisac, David 3 of 3

Abstract

We explore compact Riemannian surfaces whose boundary consists of a single closed geodesic and the relationship between orthospectrum and boundary length. More precisely, we establish a uniform lower bound on the boundary length in terms of the orthospectrum when fixing a metric invariant of the surface related to the classical notion of volume entropy. This inequality can be thought of as a Riemannian analog of Basmajian's identity for hyperbolic surfaces. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Journal of Topology & Analysis. 2026/08, Vol. 18, Issue 4, p1199
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2026
  • ISSN:1793-5253
  • DOI:10.1142/S1793525325500104
  • Accession Number:192030747
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