LINE BUNDLE LAPLACIANS OVER ISOSPECTRAL NILMANIFOLDS

Authors
SCHUETH D
Citation
D. Schueth, LINE BUNDLE LAPLACIANS OVER ISOSPECTRAL NILMANIFOLDS, Transactions of the American Mathematical Society, 349(9), 1997, pp. 3787-3802
Citations number
18
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
349
Issue
9
Year of publication
1997
Pages
3787 - 3802
Database
ISI
SICI code
0002-9947(1997)349:9<3787:LBLOIN>2.0.ZU;2-1
Abstract
We show that nontrivial isospectral deformations of a big class of com pact Riemannian two-step nilmanifolds can be distinguished from trivia l deformations by the behaviour of bundle Laplacians on certain non-fl at hermitian line bundles over these manifolds.