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math.DG2017
A Dozen Problems, Questions and Conjectures about Positive Scalar Curvature
Misha Gromov
We collect a few guesses on possible implications of a lower bound on the scalar curvature of a Riemannian manifold on the size and shape of this manifold.
math.DG2017
Metric Inequalities with Scalar Curvature
Misha Gromov
We establish several inequalities for manifolds with positive scalar curvature and, more generally, for the scalar curvature bounded from below, in the spirit of the classical boun…