ORBIT COUNTING FOR SOME DISCRETE-GROUPS ACTING ON SIMPLY CONNECTED MANIFOLDS WITH NEGATIVE CURVATURE
UNSPECIFIED (1994) ORBIT COUNTING FOR SOME DISCRETE-GROUPS ACTING ON SIMPLY CONNECTED MANIFOLDS WITH NEGATIVE CURVATURE. INVENTIONES MATHEMATICAE, 117 (2). pp. 275-302. ISSN 0020-9910Full text not available from this repository.
In this article we develop a method of deriving asymptotic formulae for the orbital counting function for the action of certain discrete groups of isometries of simply connected negatively curved manifolds. We consider the particular case of normal subgroups GAMMA left pointing triangle GAMMA0 of a co-compact group GAMMA0 for which the quotient GAMMA0/GAMMA congruent-to Z(k). Even in the special case of manifolds of constant negative, curvature, this leads to new results. In particular, we have asymptotic estimates for some groups which are not geometrically finite.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics|
|Journal or Publication Title:||INVENTIONES MATHEMATICAE|
|Number of Pages:||28|
|Page Range:||pp. 275-302|
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