Equidistant hypersurfaces of the complex bidisk ℍℂ2 × ℍ ℂ2
We consider the isometries of the complex hyperbolic bidisc, that is, the product space [Formula: see text], where each factor [Formula: see text] denotes the complex hyperbolic plane. We investigate the Dirichlet domain formed by the action of a cyclic subgroup generated by [Formula: see text], where each [Formula: see text] is loxodromic. We prove that such a Dirichlet domain has two sides.
Authors
- Krishnendu Gongopadhyay (ORCID: https://orcid.org/0000-0003-4327-0660)
- Lokenath Kundu (ORCID: https://orcid.org/0000-0001-7783-6859)
- Aditya Tiwari
Institutions
- Twitter (United States) (US)
Publication Details
- Journal
- International Journal of Mathematics
- Published
- 2026-03-13
- DOI
- https://doi.org/10.1142/s0129167x2650031x
- Primary Topic
- Holomorphic and Operator Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00