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- W2014802279 abstract "For a rank one Lie group G and a Zariski dense and geometrically finite subgroup $${Gamma}$$ of G, we establish the joint equidistribution of closed geodesics and their holonomy classes for the associated locally symmetric space. Our result is given in a quantitative form for geometrically finite real hyperbolic manifolds whose critical exponents are big enough. In the case when $${G={rm PSL}_2 (mathbb{C})}$$ , our results imply the equidistribution of eigenvalues of elements of Γ in the complex plane. When $${Gamma}$$ is a lattice, the equidistribution of holonomies was proved by Sarnak and Wakayama in 1999 using the Selberg trace formula." @default.
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- W2014802279 date "2014-09-12" @default.
- W2014802279 modified "2023-10-16" @default.
- W2014802279 title "Closed geodesics and holonomies for Kleinian manifolds" @default.
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- W2014802279 doi "https://doi.org/10.1007/s00039-014-0299-y" @default.
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