Manifolds with sublinear volume growth admit bounded mean-concave exhaustions and those with infinitely many ends have escaping geodesics, enabling curvature-free proofs of classical volume and ends theorems.
Outer Minkowski Content for Some Classes of Closed Sets
2 Pith papers cite this work. Polarity classification is still indexing.
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Proves Šilhavý's majorant condition implies the Minkowski-type condition of Chen-Torres-Irving under mild geometry, and constructs examples where the latter allows arbitrary normal trace measure concentrations.
citing papers explorer
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Curvature-free effects from volume growth and ends-counting and their applications
Manifolds with sublinear volume growth admit bounded mean-concave exhaustions and those with infinitely many ends have escaping geodesics, enabling curvature-free proofs of classical volume and ends theorems.
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Admissibility criteria for normal traces and Cauchy fluxes
Proves Šilhavý's majorant condition implies the Minkowski-type condition of Chen-Torres-Irving under mild geometry, and constructs examples where the latter allows arbitrary normal trace measure concentrations.