Year: 2026
Type: preprint
Abstract: We prove that, for any five fixed strictly positive masses, the Newtonian central configurations of exact affine dimension three form finitely many similarity classes. The proof uses the Dziobek equations, two constant identities, and local analysis of zeros and poles on a compact complex curve.
Source: arXiv (Cornell University)
Authors: Liu, Kefeng, Liu, Yangshanshan
Institution: Chongqing University of Technology
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G2775328943, G504305494
OpenAlex ID: W7223693084