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- Systolic_freedom abstract "In differential geometry, systolic freedom refers to the fact that closed Riemannian manifolds may have arbitrarily small volume regardless of their systolic invariants.That is, systolic invariants or products of systolic invariants do not in general provide universal (i.e. curvature-free) lower bounds for the total volume of a closed Riemannian manifold.Systolic freedom was first detected by Mikhail Gromov in an I.H.É.S. preprint in 1992 (which eventually appeared as Gromov 1996), and was further developed by Mikhail Katz, Michael Freedman and others. Gromov's observation was elaborated on by Marcel Berger (1993). One of the first publications to study systolic freedom in detail is by Katz (1995). Systolic freedom has applications in quantum error correction. Croke & Katz (2003) survey the main results on systolic freedom.".
- Systolic_freedom wikiPageID "19942528".
- Systolic_freedom wikiPageLength "3575".
- Systolic_freedom wikiPageOutDegree "15".
- Systolic_freedom wikiPageRevisionID "607021736".
- Systolic_freedom wikiPageWikiLink Category:Differential_geometry.
- Systolic_freedom wikiPageWikiLink Category:Quantum_information_science.
- Systolic_freedom wikiPageWikiLink Category:Riemannian_geometry.
- Systolic_freedom wikiPageWikiLink Category:Systolic_geometry.
- Systolic_freedom wikiPageWikiLink Complex_projective_plane.
- Systolic_freedom wikiPageWikiLink Differential_geometry.
- Systolic_freedom wikiPageWikiLink Gromovs_systolic_inequality_for_essential_manifolds.
- Systolic_freedom wikiPageWikiLink Institut_des_Hautes_Études_Scientifiques.
- Systolic_freedom wikiPageWikiLink Michael_Freedman.
- Systolic_freedom wikiPageWikiLink Mikhail_Katz.
- Systolic_freedom wikiPageWikiLink Mikhail_Leonidovich_Gromov.
- Systolic_freedom wikiPageWikiLink Quantum_error_correction.
- Systolic_freedom wikiPageWikiLink Riemannian_manifold.
- Systolic_freedom wikiPageWikiLink Systolic_geometry.
- Systolic_freedom wikiPageWikiLink Volume.
- Systolic_freedom wikiPageWikiLinkText "Systolic freedom".
- Systolic_freedom wikiPageWikiLinkText "systolic freedom".
- Systolic_freedom authorlink "Marcel Berger".
- Systolic_freedom first "Marcel".
- Systolic_freedom last "Berger".
- Systolic_freedom wikiPageUsesTemplate Template:Citation.
- Systolic_freedom wikiPageUsesTemplate Template:Harvnb.
- Systolic_freedom wikiPageUsesTemplate Template:Harvs.
- Systolic_freedom wikiPageUsesTemplate Template:Harvtxt.
- Systolic_freedom wikiPageUsesTemplate Template:Systolic_geometry_navbox.
- Systolic_freedom year "1993".
- Systolic_freedom subject Category:Differential_geometry.
- Systolic_freedom subject Category:Quantum_information_science.
- Systolic_freedom subject Category:Riemannian_geometry.
- Systolic_freedom subject Category:Systolic_geometry.
- Systolic_freedom hypernym Invariants.
- Systolic_freedom type Mechanic.
- Systolic_freedom type Physic.
- Systolic_freedom comment "In differential geometry, systolic freedom refers to the fact that closed Riemannian manifolds may have arbitrarily small volume regardless of their systolic invariants.That is, systolic invariants or products of systolic invariants do not in general provide universal (i.e. curvature-free) lower bounds for the total volume of a closed Riemannian manifold.Systolic freedom was first detected by Mikhail Gromov in an I.H.É.S.".
- Systolic_freedom label "Systolic freedom".
- Systolic_freedom sameAs Q7663895.
- Systolic_freedom sameAs m.04ydpgc.
- Systolic_freedom sameAs Q7663895.
- Systolic_freedom wasDerivedFrom Systolic_freedom?oldid=607021736.
- Systolic_freedom isPrimaryTopicOf Systolic_freedom.