If $(M,g)$ is a compact Riemannian manifold, with sectional curvature $K$ always positive, how to show there exists a $c>0$, such that $$K\geq c$$ What if for the case $M$ is a homogeneous manifold ?
2026-04-03 01:19:45.1775179185
Compact manifold with positive sectional curvature has a positive lower bound.
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