Spectral zeta function on pseudo \(H\)-type nilmanifolds

DOI10.1007/s13226-015-0151-6zbMath1353.53039OpenAlexW1622974073MaRDI QIDQ308229

Chisato Iwasaki, Kenro Furutani, Wolfram Bauer

Publication date: 6 September 2016

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-015-0151-6

zbMATH Keywords

nilmanifoldadmissible moduleheat kernelsub-Laplaciansub-Riemannian manifoldpseudo \(H\)-type groupspectral zeta function

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Zeta and (L)-functions: analytic theory (11M99) Sub-Riemannian geometry (53C17)

Related Items (8)

Heat trace asymptotics on equiregular sub-Riemannian manifolds ⋮ Complete classification of pseudo \(H\)-type Lie algebras. I ⋮ Fundamental solutions of a class of ultra-hyperbolic operators on pseudo \(H\)-type groups ⋮ Hypoelliptic operators in geometry. Abstracts from the workshop held May 21--26, 2023 ⋮ Automorphism groups of pseudo \(H\)-type algebras ⋮ Spectral theory of a class of nilmanifolds attached to Clifford modules ⋮ On the complete integrability of the geodesic flow of pseudo-\(H\)-type Lie groups ⋮ Complete classification of pseudo \(H\)-type algebras. II

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