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A note on non‐uniform lattices in negatively curved, non‐visibility manifolds
Author(s) -
Tam NguyenPhan T.
Publication year - 2014
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdt103
Subject(s) - mathematics , visibility , conjecture , dimension (graph theory) , pure mathematics , axiom , class (philosophy) , combinatorics , geometry , geography , computer science , artificial intelligence , meteorology
We show that for each dimension n ⩾ 3 , the class of finite volume, negatively curved manifolds M n that were constructed by Fujiwara [‘A construction of negatively curved manifolds’, Proc. Japan Acad. Ser. A Math. Sci . 64 (1988) 352–355] have universal covers M ˜ not satisfying the visibility axiom. This disproves a conjecture of Eberlein for dimension n ⩾ 3 .