A splitting theorem for Riemannian manifolds of generalised Ricci-Hessian type

by Nicolas Ginoux, Georges Habib and Ines Kath


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Abstract: In this paper, we study and partially classify those Riemannian manifolds carrying a non-identically vanishing function f whose Hessian is minus f times the Ricci-tensor of the manifold.

Nicolas Ginoux, 19/09/2018