Integral geometry for the 1-norm
Copyright policy )Integral geometry for the 1-norm
Classical integral geometry takes place in Euclidean space, but one can attempt to imitate it in any other metric space. In particular, one can attempt this in R^n equipped with the metric derived from the p-norm. This has, in effect, been investigated intensively for 1
17 pages. Version 3: minor clarifications. This version will appear in Advances in Applied Mathematics
- University of Glasgow United Kingdom
Mathematics - Differential Geometry, convex set, kinematic formula, 1-norm, Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry), Mathematics - Geometric Topology, Mathematics - Metric Geometry, Crofton formula, Convex set, FOS: Mathematics, Integral geometry, Hadwiger's theorem, Axiomatic and generalized convexity, Steinerʼs theorem, crofton formula, Applied Mathematics, metric space, Kinematic formula, Geodesic space, Metric Geometry (math.MG), Geometric Topology (math.GT), Hadwigerʼs theorem, taxicab metric, Metric geometry, Valuation, Differential Geometry (math.DG), Steiner's theorem, Taxicab metric, geodesic space, Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Metric space, valuation
Mathematics - Differential Geometry, convex set, kinematic formula, 1-norm, Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry), Mathematics - Geometric Topology, Mathematics - Metric Geometry, Crofton formula, Convex set, FOS: Mathematics, Integral geometry, Hadwiger's theorem, Axiomatic and generalized convexity, Steinerʼs theorem, crofton formula, Applied Mathematics, metric space, Kinematic formula, Geodesic space, Metric Geometry (math.MG), Geometric Topology (math.GT), Hadwigerʼs theorem, taxicab metric, Metric geometry, Valuation, Differential Geometry (math.DG), Steiner's theorem, Taxicab metric, geodesic space, Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Metric space, valuation
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