Tangent Spaces of Minkowski Spaces
Copyright policy )Tangent Spaces of Minkowski Spaces
The author' work on the class of centrally convex compact bodies whose centre is the origin in the \(n\)-dimensional real space. The main result concerns the tangent spaces of Minkowski spaces: Let \(U_i\), and \(U\) be the indicatrices of \(M^n(U_i)\) and \(M^n(U)\). If the series \(U_i\) converges to \(U\) in the Hausdorff sense for any point \(x\) out of the intersection of all \(U_i\) and \(U\), then the tangent spaces \(T_xM^n(U_i)\) converge to \(T_xM^n(U)\) in terms of Hausdorff.
Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry), Local Riemannian geometry, Minkowski space, convex sets, Other special differential geometries, Geodesics in global differential geometry, Convex sets in \(n\) dimensions (including convex hypersurfaces), centrally symmetric
Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry), Local Riemannian geometry, Minkowski space, convex sets, Other special differential geometries, Geodesics in global differential geometry, Convex sets in \(n\) dimensions (including convex hypersurfaces), centrally symmetric
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