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Line bundle Laplacians over isospectral nilmanifolds
Author(s):
Dorothee
Schueth
Journal:
Trans. Amer. Math. Soc.
349
(1997),
3787-3802.
MSC (1991):
Primary 58G25;
Secondary 22E30, 22E25
MathSciNet review:
1401787
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Abstract:
We show that nontrivial isospectral deformations of a big class of compact Riemannian two-step nilmanifolds can be distinguished from trivial deformations by the behaviour of bundle Laplacians on certain non-flat hermitian line bundles over these manifolds.
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Additional Information:
Dorothee
Schueth
Affiliation:
Mathematisches Institut der Univ. Bonn, Beringstr. 1, D-53115 Bonn, Germany
Email:
schueth@math.uni-bonn.de
DOI:
10.1090/S0002-9947-97-01861-8
PII:
S 0002-9947(97)01861-8
Keywords:
Line bundles,
Laplacian,
isospectral deformations,
nilmanifolds
Received by editor(s):
April 15, 1996
Additional Notes:
Supported by a grant from DFG, Bonn/Germany; partially supported by SFB 256, Bonn.
Copyright of article:
Copyright
1997,
American Mathematical Society
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