ADAMS INEQUALITY ON PINCHED HADAMARD MANIFOLDS

Jérôme Bertrand (1) , Kunnath Sandeep

1 IMT - Institut de Mathématiques de Toulouse UMR5219

In this article we prove the Adams type inequality for W m,p (M) functions , where m is an even integer and (M, g) is a Hadamard manifold with Ricci curvature bounded from below and sectional curvature bounded from above by a negative constant.

Domaines: Equations aux dérivées partielles [math.AP]; Géométrie différentielle [math.DG]

Jérôme Bertrand, Kunnath Sandeep. ADAMS INEQUALITY ON PINCHED HADAMARD MANIFOLDS. 2018. ⟨hal-01967254⟩