Adiabatic limits and the spectrum of the laplacian on foliated manifolds

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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
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
Volume	45
ISSN (Print)	2297-0215
ISSN (Electronic)	2297-024X

Conference

Conference	2nd International Conference on C-algebras and elliptic theory, 2006
Country	Poland
City	Bedlewo
Period	1.1.06 → …

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 proceeding › Conference 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 -