Gromov's volume growth conjecture is proven: Ric>=0 and Scal>=1 on a complete noncompact n-manifold force Vol(B(p,R))<=C_n R^(n-2) for all centers and radii.
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Heat kernel geometry and Gromov's volume growth conjecture
Gromov's volume growth conjecture is proven: Ric>=0 and Scal>=1 on a complete noncompact n-manifold force Vol(B(p,R))<=C_n R^(n-2) for all centers and radii.