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- Gromov's_systolic_inequality_for_essential_manifolds abstract "In the mathematical field of Riemannian geometry, M. Gromov's systolic inequality bounds the length of the shortest non-contractible loop on a Riemannian manifold in terms of the volume of the manifold. Gromov's systolic inequality was proved in 1983; it can be viewed as a generalisation, albeit non-optimal, of Loewner's torus inequality and Pu's inequality for the real projective plane.Technically, let M be an essential Riemannian manifold of dimension n; denote by sysπ1(M) the homotopy 1-systole of M, that is, the least length of a non-contractible loop on M. Then Gromov's inequality takes the formwhere Cn is a universal constant only depending on the dimension of M.".
- Gromov's_systolic_inequality_for_essential_manifolds wikiPageID "12066797".
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- Gromov's_systolic_inequality_for_essential_manifolds subject Category:Geometric_inequalities.
- Gromov's_systolic_inequality_for_essential_manifolds subject Category:Riemannian_geometry.
- Gromov's_systolic_inequality_for_essential_manifolds subject Category:Systolic_geometry.
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- Gromov's_systolic_inequality_for_essential_manifolds type Difference104748836.
- Gromov's_systolic_inequality_for_essential_manifolds type GeometricInequalities.
- Gromov's_systolic_inequality_for_essential_manifolds type Inequality104752221.
- Gromov's_systolic_inequality_for_essential_manifolds type Quality104723816.
- Gromov's_systolic_inequality_for_essential_manifolds comment "In the mathematical field of Riemannian geometry, M. Gromov's systolic inequality bounds the length of the shortest non-contractible loop on a Riemannian manifold in terms of the volume of the manifold.".
- Gromov's_systolic_inequality_for_essential_manifolds label "Gromov's systolic inequality for essential manifolds".
- Gromov's_systolic_inequality_for_essential_manifolds sameAs m.02vnpgr.
- Gromov's_systolic_inequality_for_essential_manifolds sameAs Q5610194.
- Gromov's_systolic_inequality_for_essential_manifolds sameAs Q5610194.
- Gromov's_systolic_inequality_for_essential_manifolds sameAs Gromov's_systolic_inequality_for_essential_manifolds.
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- Gromov's_systolic_inequality_for_essential_manifolds isPrimaryTopicOf Gromov's_systolic_inequality_for_essential_manifolds.