A Generalization of the prime geodesic theorem to counting conjugacy classes of free subgroups
نویسندگان
چکیده
منابع مشابه
A Generalization of the Prime Geodesic Theorem to Counting Conjugacy Classes of Free Subgroups
The classical prime geodesic theorem (PGT) gives an asymptotic formula (as x tends to infinity) for the number of closed geodesics with length at most x on a hyperbolic manifold M . Closed geodesics correspond to conjugacy classes of π1(M) = Γ where Γ is a lattice in G = SO(n, 1). The theorem can be rephrased in the following format. Let X(Z,Γ) be the space of representations of Z into Γ modulo...
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2007
ISSN: 0046-5755,1572-9168
DOI: 10.1007/s10711-006-9114-8