@ARTICLE{10.21494/ISTE.OP.2023.0936, 

TITLE={Topological invariants for the scalar curvature problem on manifolds}, 
  
AUTHOR={Khadijah Abdullah Sharaf, Hichem Chtioui, }, 
	
JOURNAL={Advances in Pure and Applied Mathematics}, 
	
VOLUME={14}, 

NUMBER={Issue 2 (Special CSMT 2022)}, 
	
YEAR={2023}, 

URL={http://www.openscience.fr/Topological-invariants-for-the-scalar-curvature-problem-on-manifolds}, 
	
DOI={10.21494/ISTE.OP.2023.0936}, 
	
ISSN={1869-6090}, 
	
ABSTRACT={In [7], A.Bahri introduced two topological invariants μ and τ to study the prescribed scalar curvature problem on standard spheres of high dimensions. In this paper we first extend μ and τ to the problem on general riemannian manifolds. Second we analyze, as suggested in [7], the relation between these two quantities and we prove under topological conditions that μ = τ.}}