Titre : Topological invariants for the scalar curvature problem on manifolds Auteurs : Khadijah Abdullah Sharaf, Hichem Chtioui, Revue : Advances in Pure and Applied Mathematics Numéro : Issue 2 (Special CSMT 2022) Volume : 14 Date : 2023/03/7 DOI : 10.21494/ISTE.OP.2023.0936 ISSN : 1869-6090 Résumé : 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. Éditeur : ISTE OpenScience