| Full text | |
| Author(s): |
Anan'in, Sasha
[1]
;
Chiovetto, V, Philipy
Total Authors: 2
|
| Affiliation: | [1] V, Univ Sao Paulo, ICMC, Dept Matemat, Caixa Postal 668, BR-13566590 Sao Carlos, SP - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | Groups Geometry and Dynamics; v. 14, n. 4, p. 1419-1428, 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
Applying the techniques developed in {[}1], we construct new real hyperbolic manifolds whose underlying topology is that of a disc bundle over a closed orientable surface. By the Gromov-Lawson-Thurston conjecture {[}6], such bundles M -> S should satisfy the inequality vertical bar eM/chi S vertical bar <= 1, where eM stands for the Euler number of the bundle and chi S, for the Euler characteristic of the surface. In this paper, we construct new examples that provide a maximal value of vertical bar eM/chi S vertical bar = 3/5 among all known examples. The former 5 maximum, belonging to Feng Luo {[}10], was vertical bar eM/chi S vertical bar = 1/2. (AU) | |
| FAPESP's process: | 14/26282-5 - Holomorphic section |
| Grantee: | Philipy Valdeci Chiovetto |
| Support Opportunities: | Scholarships in Brazil - Scientific Initiation |