McShane's identity in rank one symmetric spaces

DOI10.1017/S0305004114000152zbMath1295.32036arXiv1203.5901MaRDI QIDQ2877365

Ser-Peow Tan, Inkang Kim, Joonhyung Kim

Publication date: 22 August 2014

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.5901

zbMATH Keywords

geodesicshyperbolic spacesMcShane's identity

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Complex Lie groups, group actions on complex spaces (32M05)

Cites Work

• Unnamed Item
• Delambre-Gauss formulas for augmented, right-angled hexagons in hyperbolic 4-space
• Cross ratios and identities for higher Teichmüller-Thurston theory
• Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces
• Geometric structures associated to triangulations as fixed point sets of involutions
• McShane's identity for classical Schottky groups
• Complex hyperbolic Fenchel-Nielsen coordinates
• Geodesics with bounded intersection number on surfaces are sparsely distributed
• Simple geodesics and a series constant over Teichmüller space
• Geometrical finiteness with variable negative curvature
• Growth of the number of simple closed geodesics on hyperbolic surfaces
• Generalized Markoff maps and McShane's identity
• A variation of McShane's identity for once-punctured torus bundles
• A characterization of Fuchsian groups acting on complex hyperbolic spaces
• Weil-Petersson volumes and intersection theory on the moduli space of curves
• A Proof of McShane's Identity Via Markoff Triples
• Marked length rigidity of rank one symmetric spaces and their product

This page was built for publication: McShane's identity in rank one symmetric spaces