@ARTICLE{10.21494/ISTE.OP.2023.0936, TITLE={Invariants topologiques pour le problème de la courbure scalaire sur les variétés}, AUTHOR={Khadijah Abdullah Sharaf, Hichem Chtioui, }, JOURNAL={Avancées en Mathématiques Pures et Appliquées}, VOLUME={14}, NUMBER={Numéro 2 (Spécial CSMT 2022)}, YEAR={2023}, URL={https://www.openscience.fr/Invariants-topologiques-pour-le-probleme-de-la-courbure-scalaire-sur-les}, 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.}}