Work

Translation-like Apollonius and Triangular Surfaces in Non-constant Curvature Thurston Geometries

Year: 2025

Type: article

Abstract: In the present paper, we deal with non-constant curvature Thurston geometries [1–4]. We define and determine the generalized translation-like Apollonius surfaces and thus also bisector surfaces as a special case. Moreover, we give a possible definition of the “surface of a translation-like triangle” in each investigated geometry. In our work, we will use the projective model of Thurston geometries described by E. Molnár in [1].

Source: Results in Mathematics

DOI: 10.1007/s00025-025-02503-5

Authors: Géza Csima, Jenő Szirmai

Institutions: University of Debrecen, Budapest University of Technology and Economics

Language: English

Topic: Mathematics and Applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Budapesti Műszaki és Gazdaságtudományi Egyetem