Weakly commensurable arithmetic groups, lengths of closed geodesics and isospectral locally symmetric spaces

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dc.creatorPrasad, Gopal
dc.creatorRapinchuk, Andrei S.
dc.date2007-05-20
dc.date2008-11-03
dc.date.accessioned2026-07-07T13:00:26Z
dc.date.available2026-07-07T13:00:26Z
dc.descriptionWe introduce the notion of weak commensurabilty of arithmetic subgroups and relate it to the length equivalence and isospectrality of locally symmetric spaces. We prove many strong consequences of weak commensurabilty and derive from these many interesting results about isolength and isospectral locally symmetric spaces.
dc.description62 pages
dc.identifierhttps://arxiv.org/abs/0705.2891
dc.identifierhttp://arxiv.org/abs/0705.2891
dc.identifierPubl. Math. IHES 109(2009)
dc.identifierdoi:10.1007/s10240-009-0019-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225840
dc.subjectDifferential Geometry
dc.subjectNumber Theory
dc.titleWeakly commensurable arithmetic groups, lengths of closed geodesics and isospectral locally symmetric spaces
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