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...
5 KB (923 words) - 19:34, 29 January 2022
plane. Bend radius Filling radius in Riemannian geometry Mean radius Radius of convergence Radius of convexity Radius of curvature Radius of gyration...
10 KB (1,190 words) - 04:30, 18 June 2024
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....
5 KB (650 words) - 19:50, 30 November 2023
Systolic geometry (section Filling area conjecture)
its fundamental group. The proof involves a new invariant called the filling radius, introduced by Gromov, defined as follows. Denote by A the coefficient...
27 KB (3,932 words) - 12:11, 5 March 2024
systolic inequality for essential manifolds Essential manifold Filling radius Filling area conjecture Bolza surface First Hurwitz triplet Hermite constant...
8 KB (679 words) - 11:05, 12 February 2024
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...
11 KB (995 words) - 09:40, 13 February 2023
volume than the original manifold M. Filling radius Pu's inequality Systolic geometry Gromov, Mikhail (1983). "Filling Riemannian Manifolds". J. Diff. Geom...
18 KB (1,710 words) - 01:46, 25 April 2024
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...
5 KB (648 words) - 08:16, 29 June 2023
step in constructing coordinates on the limiting space is an injectivity radius estimate for closed manifolds. Cheeger, Gromov, and Michael Taylor localized...
48 KB (3,749 words) - 15:07, 24 June 2024
with a radius of 5–6 solar radii. Hessels and collaborators state that the companion may be a "bloated main-sequence star, possibly still filling its Roche...
4 KB (339 words) - 18:10, 24 April 2024