2019/12/27 by Maksim Skriganov, Skriganov, Maksim
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Algebraic and Geometric Analysis #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Metric Geometry (math.MG) #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.1912.12335
openalex publication_date 2019/12/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It was proved in the first part of this work \cite0 that Stolarsky's invariance principle, known previously for point distributions on the Euclidean spheres \cite33, can be extended to the real, complex, and quaternionic projective spaces and the octonionic projective plane. The geometric features of these spaces have been used very essentially in the proof. In the present paper, relying on the theory of spherical functions on such spaces, we give an alternative analytic proof of Stolarsky's invariance principle.