Logo der Universität Basel

Research Database / FORSCHUNGSDATENBANK 
PRINTDOC
 
Publication 2310216 | Verified
 

Data Entry: Please note that the research database will be replaced by UNIverse by the end of October 2023. Please enter your data into the system https://universe-intern.unibas.ch. Thanks

Login for users with Unibas email account...

Login for registered users without Unibas email account...

 
Conformal metrics on R^2m with constant Q-curvature and large volume
JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift)
 
ID 2310216
Author(s) Martinazzi, Luca
Author(s) at UniBasel Martinazzi, Luca
Year 2013
Title Conformal metrics on R^2m with constant Q-curvature and large volume
Journal Annales de l'Institut Henri Poincaré (C) Analyse non linéaire
Volume 30
Number 6
Pages / Article-Number 969-982
Abstract We study conformal metrics g(u) = e(2u)vertical bar dx vertical bar(2) on R-2m with constant Q-curvature Qg(u) (2m - 1)! (notice that (2m - 1)! is the Q-curvature of S-2m) and finite volume. When m = 3 we show that there exists V* such that for any V is an element of vertical bar V*, infinity) there is a conformal metric g(u) = e(2u)vertical bar dx vertical bar(2) on R-6 with Qg(u) 5! and vol(g(u)) = V. This is in sharp contrast with the four-dimensional case, treated by C.-S. Lin. We also prove that when m is odd and greater than 1, there is a constant V-m > vol(S-2m) such that for every V is an element of (0, V-m vertical bar there is a conformal metric g(u) = e(2u)vertical bar dx vertical bar(2) on R-2m with Qg(u), (2m - 1)!, vol(g) = V. This extends a result of A. Chang and W.-X. Chen. When in is even we prove a similar result for conformal metrics of negative Q-curvature. (C) 2013 Elsevier Masson SAS. All rights reserved.
Publisher Elsevier
ISSN/ISBN 0294-1449
edoc-URL http://edoc.unibas.ch/49906/
Full Text on edoc No
Digital Object Identifier DOI 10.1016/j.anihpc.2012.12.007
ISI-Number WOS:000329264700001
Document type (ISI) Article
 
   

MCSS v5.8 PRO. 0.349 sec, queries - 0.000 sec ©Universität Basel  |  Impressum   |    
02/05/2024