Gromov's systolic inequality for essential manifolds
= Gromov's systolic inequality for essential manifolds
{wiki=Gromov's_systolic_inequality_for_essential_manifolds}
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.