|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Monotonicity of
eigenvalues of geometric operators along the
Ricci–Bourguignon flow
Bin Chen, Qun He and Fanqi Zeng |
|
Vol. 296 (2018), No. 1, 1–20
|
Abstract |
|
We study monotonicity of eigenvalues of the Schrödinger-type operator , where is a constant, along the Ricci–Bourguignon flow. For , we derive monotonicity of the lowest eigenvalue of the Schrödinger-type operator , which generalizes some results of Cao (2008). As an application, we rule out nontrivial compact steady breathers in the Ricci–Bourguignon flow. For , we derive monotonicity of the first eigenvalue of the Laplacian, which generalizes some results of Ma (2006). |
PDF Access Denied
However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/pjm
We have not been able to recognize your IP address
3.219.167.194
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
eigenvalue, Laplacian, monotonicity, Ricci–Bourguignon
flow, breathers
|
Mathematical Subject Classification 2010
Primary: 53C21
Secondary: 53C44
|
Milestones
Received: 23 January 2016
Revised: 7 March 2017
Accepted: 2 March 2018
Published: 1 May 2018
|
Authors |
| Bin Chen | |
| School of Mathematical
Sciences Tongji University Shanghai China |
|
| Qun He | |
| School of Mathematical
Sciences Tongji University Shanghai China |
|
| Fanqi Zeng | |
| School of Mathematical
Sciences Tongji University Shanghai China |
|
