2 problems

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Gromov's universal-index Margulis lemma conjecture for manifolds with lower Ricci curvature bounds
A Riemannian manifold has lower bounded Ricci curvature if its Ricci curvature is bounded below by a fixed constant. The Margulis lemma asserts that sufficiently small loops genera…
Conjecturesolvedmargulis-lemma ricci-curvature riemannian-geometryarXiv posted 2 days ago
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The Margulis-type cut-off covering spectrum conjecture
The Margulis-type cut-off covering spectrum conjecture.
Conjectureopencovering-spaces margulis-lemma ricci-curvaturearXiv posted 2 days ago

Gromov's universal-index Margulis lemma conjecture for manifolds with lower Ricci curvature bounds