Volumes of hyperbolic manifolds and mixed Tate motives
نویسندگان
چکیده
منابع مشابه
Volumes of hyperbolic manifolds and mixed Tate motives
1. Volumes of (2n − 1)-dimensional hyperbolic manifolds and the Borel regulator on K2n−1(Q). Let M be an n-dimensional hyperbolic manifold with finite volume vol(M). If n = 2m is an even number, then by the Gauss-Bonnet theorem ([Ch]) vol(M) = −c2m · χ(M) where c2m = 1/2×(volume of sphere S of radius 1) and χ(M) is the Euler characteristic of M. This is straightforward for compact manifolds and...
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 1999
ISSN: 0894-0347,1088-6834
DOI: 10.1090/s0894-0347-99-00293-3