Line bundle Laplacians over isospectral nilmanifolds

DOI10.1090/S0002-9947-97-01861-8zbMath0889.58081OpenAlexW1556814729MaRDI QIDQ4372567

Dorothee Schueth

Publication date: 16 December 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01861-8

zbMATH Keywords

Laplacianline bundlesnilmanifoldsisospectral deformation

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Isospectral deformations of compact solvmanifolds
• Distinguishing isospectral nilmanifolds by bundle Laplacians
• Isospectral deformations on Riemannian manifolds which are diffeomorphic to compact Heisenberg manifolds
• The inaudible geometry of nilmanifolds
• On the cohomology of compact homogeneous spaces of nilpotent Lie groups
• Calcul du Spectre d'une Nilvariete de Rang Deux et Applications
• On Automorphisms of A Kählerian Structure
• Isospectral deformations II: Trace formulas, metrics, and potentials
• Isospectral deformations I: Riemannian structures on two-step nilspaces
• On lens spaces which are isospectral but not isometric
• Geometry of $2$-step nilpotent groups with a left invariant metric

This page was built for publication: Line bundle Laplacians over isospectral nilmanifolds