Premium
Volumes of Hyperbolic 3‐Manifolds of Betti Number at Least 3
Author(s) -
Przeworski Andrew
Publication year - 2002
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/s0024609301008669
Subject(s) - betti number , mathematics , manifold (fluid mechanics) , volume (thermodynamics) , pure mathematics , hyperbolic manifold , combinatorics , mathematical analysis , hyperbolic function , mechanical engineering , physics , quantum mechanics , engineering
This paper provides a new, simpler proof of the fact that the smallest volume hyperbolic 3‐manifold has betti number at least 3. In the process, the best known lower bound on the volume of such a manifold is improved.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom