Systolic extremality conjecture for the singular manifold
Systolic extremality conjecture for the singular manifold
Let be the singular Riemannian manifold considered in the source. A metric is extremal for the isosystolic inequality if it realizes the optimal systolic constant in its topological manifold. Systolic extremality conjecture. The manifold is extremal for the isosystolic inequality. The manifold is singled out because its systolic geodesics cover the manifold for every systolic class, in addition to the abundance of systolic geodesics shared by the other candidate manifolds. The supplied source does not state a resolution of this global extremality claim.
Sources & referencesView supporting material
Primary source
Chady El Mir, “Bavard's systolically extremal Klein bottles and three dimensional applications”, arXiv:1007.0877 (2020).
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