Spectra of Some Domains in Compact Lie Groups and Their Applications

DOI10.2307/2045935zbMath0617.35099OpenAlexW4250220226MaRDI QIDQ4726738

Hajime Urakawa

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2045935

zbMATH Keywords

Dirichlet problemdomainsspectracompact Lie groups

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differential geometry of symmetric spaces (53C35)

Cites Work

• Spectres et groupes cristallographiques. I: Domaines euclidiens. (Spectra and crystallographic groups. I: Euclidean domains)
• Degree of the standard isometric minimal immersions of complex projective spaces into spheres
• The first eigenvalue of the Laplacian on two dimensional Riemannian manifolds
• The heat equation on compact Lie group
• On the structure of cut loci in compact Riemannian symmetric spaces
• On the lengths of the second fundamental forms of R-spaces
• Spectra of domains in compact manifolds
• Minimal imbeddings of R-spaces
• Minimum and Conjugate Points in Symmetric Spaces
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