BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Some geometric inequalities induced by the Ricci curvature in the Kato Class Carron, Gilles


It is now well known that a lower bound on the Ricci curvature yields geometric and analytic estimates on the volume of balls, heat kernel, Poincaré inequality... We will discuss on the possibility that some of these properties are induced by spectral properties of Schrödinger operator of the type \Delta-\lambda ricci_- (ricci__ being the lowest eigenvalue of the Ricci tensor)

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