Length of a closed geodesic in 3-manifolds of positive scalar curvature
Length of a closed geodesic in 3-manifolds of positive scalar curvature
Let $M$ be a closed $3$-dimensional Riemannian manifold with positive scalar curvature, $R_g \geq 6$. We show that $M$ contains a non-trivial closed geodesic of length less than $22500$. This confirms a conjecture of M. Gromov in dimension $3$.
Yevgeny Liokumovich、Davi Maximo、Regina Rotman
数学
Yevgeny Liokumovich,Davi Maximo,Regina Rotman.Length of a closed geodesic in 3-manifolds of positive scalar curvature[EB/OL].(2025-04-07)[2025-05-10].https://arxiv.org/abs/2504.05459.点此复制
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