Adiabatic limits and the spectrum of the laplacian on foliated manifolds

Yuri A. Kordyukov, Andrey A. Yakovlev

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)

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 languageEnglish
Title of host publicationC*-algebras and Elliptic Theory II
EditorsRichard Melrose, Dan Burghelea, Alexander S. Mishchenko, Evgenij V. Troitsky
PublisherSpringer International Publishing
Pages123-144
Number of pages22
ISBN (Print)9783764386030
Publication statusPublished - 1 Jan 2008
Externally publishedYes
Event2nd International Conference on C-algebras and elliptic theory, 2006 - Bedlewo, Poland
Duration: 1 Jan 2006 → …

Publication series

NameTrends in Mathematics
Volume45
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X

Conference

Conference2nd International Conference on C-algebras and elliptic theory, 2006
CountryPoland
CityBedlewo
Period1.1.06 → …

Fingerprint

Differential Forms
Riemannian Manifold
Leaves
Metric

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Kordyukov, Y. A., & Yakovlev, A. A. (2008). Adiabatic limits and the spectrum of the laplacian on foliated manifolds. In R. Melrose, D. Burghelea, A. S. Mishchenko, & E. V. Troitsky (Eds.), C*-algebras and Elliptic Theory II (pp. 123-144). (Trends in Mathematics; Vol. 45). Springer International Publishing.

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 proceedingConference contribution

Kordyukov, YA & Yakovlev, AA 2008, Adiabatic limits and the spectrum of the laplacian on foliated manifolds. in R Melrose, D Burghelea, AS Mishchenko & EV Troitsky (eds), C*-algebras and Elliptic Theory II. Trends in Mathematics, vol. 45, Springer International Publishing, pp. 123-144, 2nd International Conference on C-algebras and elliptic theory, 2006, Bedlewo, Poland, 1.1.06.
Kordyukov YA, Yakovlev AA. Adiabatic limits and the spectrum of the laplacian on foliated manifolds. In Melrose R, Burghelea D, Mishchenko AS, Troitsky EV, editors, C*-algebras and Elliptic Theory II. Springer International Publishing. 2008. p. 123-144. (Trends in Mathematics).
Kordyukov, Yuri A. ; Yakovlev, Andrey A. / Adiabatic limits and the spectrum of the laplacian on foliated manifolds. C*-algebras and Elliptic Theory II. editor / Richard Melrose ; Dan Burghelea ; Alexander S. Mishchenko ; Evgenij V. Troitsky. Springer International Publishing, 2008. pp. 123-144 (Trends in Mathematics).
@inproceedings{a50bdff8d9a343e48fc322e7ef7f5f69,
title = "Adiabatic limits and the spectrum of the laplacian on foliated manifolds",
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).",
author = "Kordyukov, {Yuri A.} and Yakovlev, {Andrey A.}",
year = "2008",
month = "1",
day = "1",
language = "English",
isbn = "9783764386030",
series = "Trends in Mathematics",
publisher = "Springer International Publishing",
pages = "123--144",
editor = "Richard Melrose and Dan Burghelea and Mishchenko, {Alexander S.} and Troitsky, {Evgenij V.}",
booktitle = "C*-algebras and Elliptic Theory II",

}

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 -