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- W4200629897 abstract "For a simply connected closed Riemannian manifold with positive scalar curvature, we prove an upper diameter bound in terms of its scalar curvature integral, the Yamabe constant and the dimension of the manifold. When a manifold has a conformal immersion into a sphere, the dependency on the Yamabe constant is not necessary. The power of scalar curvature integral in these diameter estimates is sharp and it occurs at round spheres with canonical metric." @default.
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- W4200629897 date "2022-08-01" @default.
- W4200629897 modified "2023-09-28" @default.
- W4200629897 title "Diameter estimate for closed manifolds with positive scalar curvature" @default.
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- W4200629897 doi "https://doi.org/10.1016/j.geomphys.2022.104545" @default.
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