Egan conjecture holds

2023/10/16 by S. V. Drozdov, Sergei Drozdov, Drozdov, Sergei · 1 voice
Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Holomorphic and Operator Theory

paper · doi:10.1016/j.dam.2025.08.034

openalex publication_date 2025/08/27 · crossref created 2025/08/27 · crossref deposited 2025/09/14 · openalex created_date 2025/10/10 · crossref issued 2025/12/01 · crossref published 2025/12/01 · crossref published-print 2025/12/01 · crossref indexed 2026/03/09 · openalex updated_date 2026/06/15

Abstract

Given a Euclidean simplex of dimension n\geqslant 2 let its radii of inscribed and circumscribed spheres be r and R, and the distance between the centers of the inscribed and circumscribed spheres be d. Then, (R-nr)(R+(n-2)r) \geqslant d².

Citations

• A remark on Chapple-Euler Theorem in non Euclidean geometry

Discussions

• Some authors create fiction, some others do science Apparently, Greg Egan can do both #ScienceFiction doi.org/10.1016/j.da... Egan conjecture holds : Given a Euclidean simplex of dimension >=2, then [bsky, 0 points, 0 comments]