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math.DG2023
A Poincaré formula for differential forms and applications
Nicolas Ginoux, Georges Habib, Simon Raulot
We prove a new general Poincaré-type inequality for differential forms on compact Riemannian manifolds with nonempty boundary. When the boundary is isometrically immersed in Euclid…
math.DG2023
A generalised Ricci-Hessian equation on Riemannian manifolds
Nicolas Ginoux, Georges Habib
In this paper, we prove new rigidity results related to some generalised Ricci-Hessian equation on Riemannian manifolds.