
arXiv: 1812.09731
We formulate several conjectures on mean convex domains in the Euclidean spaces, as well as in more general spaces with lower bounds on their scalar curvatures, and prove a few theorems motivating these conjectures
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), Mathematics - Differential Geometry, distance decreasing maps, inscribed balls, mean curvature, Convex sets in \(n\) dimensions (including convex hypersurfaces), filling radius, Global Riemannian geometry, including pinching, Differential Geometry (math.DG), FOS: Mathematics, scalar curvature, thin mean convex
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), Mathematics - Differential Geometry, distance decreasing maps, inscribed balls, mean curvature, Convex sets in \(n\) dimensions (including convex hypersurfaces), filling radius, Global Riemannian geometry, including pinching, Differential Geometry (math.DG), FOS: Mathematics, scalar curvature, thin mean convex
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