Sharp integral bound of scalar curvature on $3$-manifolds
Sharp integral bound of scalar curvature on $3$-manifolds
It is shown that the integral of the scalar curvature on a geodesic ball of radius $R$ in a three-dimensional complete manifold with nonnegative Ricci curvature is bounded above by $8\pi R$ asymptotically for large $R$ provided that the scalar curvature is bounded between two positive constants.
Ovidiu Munteanu、Jiaping Wang
数学
Ovidiu Munteanu,Jiaping Wang.Sharp integral bound of scalar curvature on $3$-manifolds[EB/OL].(2025-05-15)[2025-06-27].https://arxiv.org/abs/2505.10520.点此复制
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