On the fields generated by the lengths of closed geodesics in locally symmetric spaces

DOI10.1007/s10711-013-9909-3zbMath1308.53077arXiv1110.0141OpenAlexW2100831801MaRDI QIDQ464236

Andrei S. Rapinchuk, Gopal Prasad

Publication date: 17 October 2014

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0141

zbMATH Keywords

locally symmetric spaceSchanuel conjecturetrace fieldweak containmentlength commensurabilitylength of closed geodesic

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Linear algebraic groups over global fields and their integers (20G30) Differential geometry of symmetric spaces (53C35)

Related Items (4)

On the splitting fields of generic elements in Zariski dense subgroups ⋮ Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction ⋮ Linear algebraic groups with good reduction ⋮ The genus of a division algebra and the unramified Brauer group

Cites Work

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