|
|||||
 |
|
|
|
|
|
|
|
A gap theorem for
$\alpha$-harmonic maps between two-spheres
Tobias Lamm, Andrea Malchiodi and Mario Micallef |
|
Vol. 14 (2021), No. 3, 881–889
|
Abstract |
|
We consider approximations introduced by Sacks and Uhlenbeck of the harmonic energy for maps from into . We continue our previous analysis (J. Differential Geom. 116:2 (2020), 321–348) on limits of -harmonic maps with uniformly bounded energy. Using a recent energy identity of Li and Zhu (Ann. Inst. H. Poincaré Anal. Non Linéaire 36:1 (2019), 103–118), we obtain an optimal gap theorem for the -harmonic maps of degree or . |
PDF Access Denied
We have not been able to recognize your IP address
18.217.4.206
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
$\alpha$-harmonic maps, gap theorems
|
Mathematical Subject Classification 2010
Primary: 58E20
|
Milestones
Received: 25 March 2019
Accepted: 21 November 2019
Published: 18 May 2021
|
Authors |
| Tobias Lamm | |
| Institute for Analysis Karlsruhe Institute of Technology Karlsruhe Germany |
|
| Andrea Malchiodi | |
| Scuola Normale Superiore Pisa Italy |
|
| Mario Micallef | |
| Mathematics Institute University of Warwick Coventry United Kingdom |
|
