Counting commensurability classes of hyperbolic manifolds
نویسندگان
چکیده
منابع مشابه
Geodesics and commensurability classes of arithmetic hyperbolic 3-manifolds
This sharpens [10], where it was shown that the complex length spectrum of M determines its commensurability class. Suppose M ′ is an arithmetic hyperbolic 3-manifold which is not commensurable to M . Theorem 1.1 implies QL(M) 6= QL(M ′), though by Example 2.1 below it is possible that one of QL(M ′) or QL(M) contains the other. By the length formulas recalled in §2.1 and §2.2, each element of ...
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ژورنال
عنوان ژورنال: Geometric and Functional Analysis
سال: 2014
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-014-0294-3