A note on non‐uniform lattices in negatively curved, non‐visibility manifolds | Zendy

Tam NguyenPhan T. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

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 .

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research