scholarly journals Existence and Multiplicity Results for the Prescribed Webster Scalar Curvature Problem on Three CR Manifolds

2011 ◽  
Vol 23 (2) ◽  
pp. 878-894 ◽  
Author(s):  
Hichem Chtioui ◽  
Mohameden Ould Ahmedou ◽  
Ridha Yacoub
Keyword(s):  
Scalar Curvature ◽  
Cr Manifolds ◽  
Multiplicity Results ◽  
Existence And Multiplicity ◽  
Webster Scalar Curvature ◽  
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 Existence and Multiplicity Results for the Scalar Curvature Problem on the Half-Sphere 𝕊+3

Geometry ◽  
2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Ridha Yacoub
Keyword(s):  
Scalar Curvature ◽  
Critical Points ◽  
Mean Curvature ◽  
Existence Results ◽  
Curvature Condition ◽  
Multiplicity Results ◽  
3 Dimensional ◽  
Existence And Multiplicity ◽  
Curvature Problem ◽  
Boundary Mean Curvature

In this paper we deal with the scalar curvature problem under minimal boundary mean curvature condition on the standard 3-dimensional half-sphere. Using tools related to the theory of critical points at infinity, we give existence results under perturbative and nonperturbative hypothesis, and with the help of some “Morse inequalities at infinity”, we provide multiplicity results for our 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

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