Line bundle Laplacians over isospectral nilmanifolds
From MaRDI portal
Publication:4372567
DOI10.1090/S0002-9947-97-01861-8zbMath0889.58081OpenAlexW1556814729MaRDI QIDQ4372567
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
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