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- Filling_radius abstract "In Riemannian geometry, the filling radius of a Riemannian manifold X is a metric invariant of X. It was originally introduced in 1983 by Mikhail Gromov, who used it to prove his systolic inequality for essential manifolds, vastly generalizing Loewner's torus inequality and Pu's inequality for the real projective plane, and creating Systolic geometry in its modern form.The filling radius of a simple loop C in the plane is defined as the largest radius, R>0, of a circle that fits inside C:".
- Filling_radius wikiPageID "12868362".
- Filling_radius wikiPageRevisionID "604225227".
- Filling_radius hasPhotoCollection Filling_radius.
- Filling_radius subject Category:Differential_geometry.
- Filling_radius subject Category:Riemannian_geometry.
- Filling_radius subject Category:Systolic_geometry.
- Filling_radius comment "In Riemannian geometry, the filling radius of a Riemannian manifold X is a metric invariant of X. It was originally introduced in 1983 by Mikhail Gromov, who used it to prove his systolic inequality for essential manifolds, vastly generalizing Loewner's torus inequality and Pu's inequality for the real projective plane, and creating Systolic geometry in its modern form.The filling radius of a simple loop C in the plane is defined as the largest radius, R>0, of a circle that fits inside C:".
- Filling_radius label "Filling radius".
- Filling_radius sameAs m.02x8mb8.
- Filling_radius sameAs Q2602832.
- Filling_radius sameAs Q2602832.
- Filling_radius wasDerivedFrom Filling_radius?oldid=604225227.
- Filling_radius isPrimaryTopicOf Filling_radius.