Abstract
We present some recent results on the behavior of the spectrum of the differential form Laplacian on a Riemannian foliated manifold when the metric on the ambient manifold is blown up in directions normal to the leaves (in the adiabatic limit).
Original language | English |
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Title of host publication | C*-algebras and Elliptic Theory II |
Editors | Richard Melrose, Dan Burghelea, Alexander S. Mishchenko, Evgenij V. Troitsky |
Publisher | Springer International Publishing |
Pages | 123-144 |
Number of pages | 22 |
ISBN (Print) | 9783764386030 |
Publication status | Published - 1 Jan 2008 |
Externally published | Yes |
Event | 2nd International Conference on C-algebras and elliptic theory, 2006 - Bedlewo, Poland Duration: 1 Jan 2006 → … |
Publication series
Name | Trends in Mathematics |
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Volume | 45 |
ISSN (Print) | 2297-0215 |
ISSN (Electronic) | 2297-024X |
Conference
Conference | 2nd International Conference on C-algebras and elliptic theory, 2006 |
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Country | Poland |
City | Bedlewo |
Period | 1.1.06 → … |
Fingerprint
ASJC Scopus subject areas
- Mathematics(all)
Cite this
Adiabatic limits and the spectrum of the laplacian on foliated manifolds. / Kordyukov, Yuri A.; Yakovlev, Andrey A.
C*-algebras and Elliptic Theory II. ed. / Richard Melrose; Dan Burghelea; Alexander S. Mishchenko; Evgenij V. Troitsky. Springer International Publishing, 2008. p. 123-144 (Trends in Mathematics; Vol. 45).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Adiabatic limits and the spectrum of the laplacian on foliated manifolds
AU - Kordyukov, Yuri A.
AU - Yakovlev, Andrey A.
PY - 2008/1/1
Y1 - 2008/1/1
N2 - We present some recent results on the behavior of the spectrum of the differential form Laplacian on a Riemannian foliated manifold when the metric on the ambient manifold is blown up in directions normal to the leaves (in the adiabatic limit).
AB - We present some recent results on the behavior of the spectrum of the differential form Laplacian on a Riemannian foliated manifold when the metric on the ambient manifold is blown up in directions normal to the leaves (in the adiabatic limit).
UR - http://www.scopus.com/inward/record.url?scp=77952084361&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77952084361&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:77952084361
SN - 9783764386030
T3 - Trends in Mathematics
SP - 123
EP - 144
BT - C*-algebras and Elliptic Theory II
A2 - Melrose, Richard
A2 - Burghelea, Dan
A2 - Mishchenko, Alexander S.
A2 - Troitsky, Evgenij V.
PB - Springer International Publishing
ER -