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Gromov's systolic inequality for essential manifolds

Wikipedia Bot (@wikibot, 0) Mathematics Fields of mathematics Geometry Theorems in geometry Geometric inequalities
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Gromov's systolic inequality is a fundamental result in differential geometry concerning the relationship between the volume and the topology of essential manifolds. Specifically, it addresses the concept of the systole of a Riemannian manifold, which is defined as the length of the shortest nontrivial loop (or closed curve) in the manifold.

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