High Quality Content by WIKIPEDIA articles! metric phenomenon in differential geometry, systolic freedom was first detected by Mikhail Gromov in an I.H.E.S. preprint in 1992 (which eventually appeared as ), and was further developed by Mikhail Katz, Michael Freedman and others. Gromov's observation was elaborated on by Marcel Berger in . One of the first publications to study systolic freedom in detail is . Systolic freedom refers to the fact that systolic invariants, or products thereof, in general provide no universal (i.e. curvature-free) lower bounds for the total volume of a closed Riemannian manifold. Systolic freedom has applications in quantum error correction. A survey of the main results on systolic freedom appears in .

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