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

Valera Berestovskii; Irina Zubareva; Victor Svirkin

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

Differential Geometry 2016-02-04 v2

Authors: Valera Berestovskii , Irina Zubareva , Victor Svirkin

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.

Keywords

Laplace operator spectrum compact simple Lie groups rank three biinvariant Riemannian metric quadratic forms number theory explicit calculation

Cite

@article{arxiv.1511.03872,
  title  = {The spectrum of the Laplace operator on connected compact simple rank three Lie groups},
  author = {Valera Berestovskii and Irina Zubareva and Victor Svirkin},
  journal= {arXiv preprint arXiv:1511.03872},
  year   = {2016}
}

Comments

32 pages, 3 figures

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

Abstract

Keywords

Cite

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