A couple of real hyperbolic disc bundles over surfaces

  • Sasha Anan'in

    Universidade de São Paulo, São Carlos, Brazil
  • Philipy V. Chiovetto

    Universidade de São Paulo, São Carlos, Brazil
A couple of real hyperbolic disc bundles over surfaces cover

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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 should satisfy the inequality , where stands for the Euler number of the bundle and , for the Euler characteristic of the surface. In this paper, we construct new examples that provide a maximal value of among all known examples. The former maximum, belonging to Feng Luo [10], was .

Cite this article

Sasha Anan'in, Philipy V. Chiovetto, A couple of real hyperbolic disc bundles over surfaces. Groups Geom. Dyn. 14 (2020), no. 4, pp. 1419–1428

DOI 10.4171/GGD/585