| Texto completo | |
| Autor(es): |
Anan'in, Sasha
[1]
;
Chiovetto, V, Philipy
Número total de Autores: 2
|
| Afiliação do(s) autor(es): | [1] V, Univ Sao Paulo, ICMC, Dept Matemat, Caixa Postal 668, BR-13566590 Sao Carlos, SP - Brazil
Número total de Afiliações: 1
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Groups Geometry and Dynamics; v. 14, n. 4, p. 1419-1428, 2020. |
| Citações Web of Science: | 0 |
| Resumo | |
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) | |
| Processo FAPESP: | 14/26282-5 - Seção holomorfa |
| Beneficiário: | Philipy Valdeci Chiovetto |
| Modalidade de apoio: | Bolsas no Brasil - Iniciação Científica |