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...

plane. Bend radius Filling radius in Riemannian geometry Mean radius Radius of convergence Radius of convexity Radius of curvature Radius of gyration...

of atomic radius. Four widely used definitions of atomic radius are: Van der Waals radius, ionic radius, metallic radius and covalent radius. Typically...

circumscribed circle or circumcircle. The inradius or filling radius of a given outer figure is the radius of the inscribed circle or sphere, if it exists....

In chemistry, a space-filling model, also known as a calotte model, is a type of three-dimensional (3D) molecular model where the atoms are represented...

its fundamental group. The proof involves a new invariant called the filling radius, introduced by Gromov, defined as follows. Denote by A the coefficient...

systolic inequality for essential manifolds Essential manifold Filling radius Filling area conjecture Bolza surface First Hurwitz triplet Hermite constant...

key ideas of the proof is the introduction of filling invariants, namely the filling radius and the filling volume of X. Namely, Gromov proved a sharp inequality...

step in constructing coordinates on the limiting space is an injectivity radius estimate for closed manifolds. Cheeger, Gromov, and Michael Taylor localized...

volume than the original manifold M. Filling radius Pu's inequality Systolic geometry Gromov, Mikhail (1983). "Filling Riemannian Manifolds". J. Diff. Geom...