Bahri-Coron type theorem for the scalar curvature problem on high dimensional spheres

2010 ◽  
Vol 191 (1) ◽  
pp. 95-112 ◽  
Author(s):  
Mohamed Ben Ayed
Keyword(s):  
Scalar Curvature ◽  
Type Theorem ◽  
High Dimensional ◽  
Curvature Problem

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].

scholarly journals The Webster scalar curvature problem on the three dimensional CR manifolds

2007 ◽  
Vol 131 (4) ◽  
pp. 361-374 ◽  
Author(s):  
Hichem Chtioui ◽  
Khalil El Mehdi ◽  
Najoua Gamara
Keyword(s):  
Scalar Curvature ◽  
Three Dimensional ◽  
Cr Manifolds ◽  
Webster Scalar Curvature ◽  
Curvature Problem

Symmetric solutions for the prescribed scalar curvature problem

2000 ◽  
Vol 49 (2) ◽  
pp. 0-0
Author(s):  
Zhi-Qiang Wang ◽  
Florin Catrina
Keyword(s):  
Scalar Curvature ◽  
Curvature Problem

On the prescribed scalar curvature problem on $4$ -manifolds

1996 ◽  
Vol 84 (3) ◽  
pp. 633-677 ◽  
Author(s):  
Mohamed Ben Ayed ◽  
Yansong Chen ◽  
Hichem Chtioui ◽  
Mokhles Hammami
Keyword(s):  
Scalar Curvature ◽  
Curvature Problem

The scalar-curvature problem on higher-dimensional spheres

1998 ◽  
Vol 93 (2) ◽  
pp. 379-424 ◽  
Author(s):  
Mohamed Ben Ayed ◽  
Hichem Chtioui ◽  
Mokhles Hammami
Keyword(s):  
Scalar Curvature ◽  
Higher Dimensional ◽  
Curvature Problem

scholarly journals The scalar curvature problem on the four dimensional half sphere

2004 ◽  
Vol 22 (4) ◽  
pp. 465-482 ◽  
Author(s):  
M. Ben Ayed ◽  
K. El Mehdi ◽  
M. Ould Ahmedou
Keyword(s):  
Scalar Curvature ◽  
Curvature Problem
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