Geodesic
Hyperbolic manifolds of small volume
Documenta mathematica, Tome 19 (2014), pp. 801-814
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

We conjecture that for every dimension n=3 there exists a noncompact hyperbolic n-manifold whose volume is smaller than the volume of any compact hyperbolic n-manifold. For dimensions n≤4 and n=6 this conjecture follows from the known results. In this paper we show that the conjecture is true for arithmetic hyperbolic n-manifolds of dimension n≥30.
DOI : 10.4171/dm/464
Classification : 11E57, 20G30, 22E40, 51M25
Mots-clés : volume, Euler characteristic, hyperbolic manifold, arithmetic group 
@article{10_4171_dm_464,
     author = {Vincent Emery and Mikhail Belolipetsky},
     title = {Hyperbolic manifolds of small volume},
     journal = {Documenta mathematica},
     pages = {801--814},
     year = {2014},
     volume = {19},
     doi = {10.4171/dm/464},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/464/}
}
TY  - JOUR
AU  - Vincent Emery
AU  - Mikhail Belolipetsky
TI  - Hyperbolic manifolds of small volume
JO  - Documenta mathematica
PY  - 2014
SP  - 801
EP  - 814
VL  - 19
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/464/
DO  - 10.4171/dm/464
ID  - 10_4171_dm_464
ER  - 
%0 Journal Article
%A Vincent Emery
%A Mikhail Belolipetsky
%T Hyperbolic manifolds of small volume
%J Documenta mathematica
%D 2014
%P 801-814
%V 19
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/464/
%R 10.4171/dm/464
%F 10_4171_dm_464
Vincent Emery; Mikhail Belolipetsky. Hyperbolic manifolds of small volume. Documenta mathematica, Tome 19 (2014), pp. 801-814. doi: 10.4171/dm/464

Cité par Sources :