Martinazzi, Luca. (2008) Conformal metrics on R^{2m} with constant Qcurvature. Rendiconti Lincei. Matematica e Applicazioni, 19 (4). pp. 279292.
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Official URL: http://edoc.unibas.ch/49851/
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Abstract
We study the conformal metrics on \R2m with constant Qcurvature Q∈\R having finite volume, particularly in the case Q≤0. We show that when Q<0 such metrics exist in \R2m if and only if m>1. Moreover we study their asymptotic behavior at infinity, in analogy with the case Q>0, which we treated in a recent paper. When Q=0, we show that such metrics have the form e2pg\R2m, where p is a polynomial such that 2≤degp≤2m−2 and sup\R2mp<+∞. In dimension 4, such metrics correspond to the polynomials p of degree 2 with limx→+∞p(x)=−∞.
Faculties and Departments:  05 Faculty of Science > Departement Mathematik und Informatik > Mathematik 

UniBasel Contributors:  Martinazzi, Luca 
Item Type:  Article, refereed 
Article Subtype:  Research Article 
Publisher:  European Mathematical Society 
ISSN:  11206330 
eISSN:  17200768 
Note:  Publication type according to Uni Basel Research Database: Journal article 
Identification Number: 

Last Modified:  19 Dec 2017 10:00 
Deposited On:  19 Dec 2017 10:00 
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