scholarly journals Topological methods for the prescribed Webster Scalar Curvature problem on CR manifolds

2010 ◽  
Vol 28 (3) ◽  
pp. 264-281 ◽  
Author(s):  
Hichem Chtioui ◽  
Mohameden Ould Ahmedou ◽  
Ridha Yacoub
Keyword(s):  
Scalar Curvature ◽  
Cr Manifolds ◽  
Topological Methods ◽  
Webster Scalar Curvature ◽  
Curvature Problem

Existence Results for the Prescribed Webster Scalar Curvature on Higher Dimensional CR Manifolds

2013 ◽  
Vol 13 (3) ◽  
Author(s):  
Ridha Yacoub
Keyword(s):  
Scalar Curvature ◽  
Unit Sphere ◽  
Existence Results ◽  
Cr Manifold ◽  
Cr Manifolds ◽  
Higher Dimensional ◽  
Webster Scalar Curvature

AbstractThis paper is about prescribing the Webster scalar curvature on a compact CR manifold of dimension 2n+1 ≥ 5, which is locally CR equivalent to the standard CR unit sphere S

Topological tools for the prescribed scalar curvature problem on S n

2014 ◽  
Vol 12 (12) ◽  
Author(s):  
Dina Abuzaid ◽  
Randa Ben Mahmoud ◽  
Hichem Chtioui ◽  
Afef Rigane
Keyword(s):  
Scalar Curvature ◽  
Conformal Metrics ◽  
Standard Sphere ◽  
Multiplicity Results ◽  
Existence And Multiplicity ◽  
Hopf Formula ◽  
Curvature Problem ◽  
Formula Type

AbstractIn this paper, we consider the problem of the existence of conformal metrics with prescribed scalar curvature on the standard sphere S n, n ≥ 3. We give new existence and multiplicity results based on a new Euler-Hopf formula type. Our argument also has the advantage of extending well known results due to Y. Li [16].

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