Exponential mixing of frame flows for convex cocompact hyperbolic manifolds
نویسندگان
چکیده
The aim of this paper is to establish exponential mixing frame flows for convex cocompact hyperbolic manifolds arbitrary dimension with respect the Bowen–Margulis–Sullivan measure. Some immediate applications include an asymptotic formula matrix coefficients error term as well equidistribution holonomy closed geodesics. main technical result a spectral bound on transfer operators twisted by , which we obtain building Dolgopyat's method.
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ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2021
ISSN: ['0010-437X', '1570-5846']
DOI: https://doi.org/10.1112/s0010437x21007600