The spectrum of the Laplace operator on connected compact simple rank three Lie groups

2015/11/12 by Valera Berestovskii, Berestovskii, Valera, И. А. Зубарева +4
Mathematics · #53 #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics #Mathematical Analysis and Transform Methods #advanced mathematical theories #math.DG #msc:53

paper · pdf · doi:10.48550/arxiv.1511.03872

32 pages, 3 figures

openalex publication_date 2015/11/12 · arxiv created 2016/02/03 · arxiv updated 2016/02/04 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28

Abstract

In this paper are given explicit calculations of Laplace operator spectrum for smooth real/complex-valued functions on all connected compact simple rank three Lie groups with biinvariant Riemannian metric and established a connection of obtained formulas with the number theory and integer ternary and binary quadratic forms.

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