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Fake spherical spaceforms of constant positive scalar curvature.

Slawomir Kwasik, R. Schultz (1996)

Commentarii mathematici Helvetici

Finiteness of $π_{1}$ and geometric inequalities in almost positive Ricci curvature

Erwann Aubry (2007)

Annales scientifiques de l'École Normale Supérieure

Finiteness theorems with integral conditions on curvature

Sylvestre Gallot (1986/1987)

Séminaire de théorie spectrale et géométrie

Functional inequalities and manifolds with nonnegative weighted Ricci curvature

Jing Mao (2020)

Czechoslovak Mathematical Journal

We show that $n$ -dimensional $(n ⩾ 2)$ complete and noncompact metric measure spaces with nonnegative weighted Ricci curvature in which some Caffarelli-Kohn-Nirenberg type inequality holds are isometric to the model metric measure $n$ -space (i.e. the Euclidean metric $n$ -space). We also show that the Euclidean metric spaces are the only complete and noncompact metric measure spaces of nonnegative weighted Ricci curvature satisfying some prescribed Sobolev type inequality.

Displaying 1 – 4 of 4

Fake spherical spaceforms of constant positive scalar curvature.

Finiteness of π 1 and geometric inequalities in almost positive Ricci curvature

Finiteness theorems with integral conditions on curvature

Functional inequalities and manifolds with nonnegative weighted Ricci curvature

Currently displaying 1 – 4 of 4

Finiteness of $π_{1}$ and geometric inequalities in almost positive Ricci curvature