Geometry

   

On Surface Measures on Convex Bodies and Generalizations of Known Tangential Identities

Authors: Johan Aspegren

One theme of this paper is to extend known results from polygons and balls to the general convex bodies in n− dimensions. An another theme stems from approximating a convex surface with a polytope surface. Our result gives a sufficient and necessary condition for an natural approximation method to succeed (in principle) in the case of surfaces of convex bodies. Thus, Schwartz`s paradox does not affect our method. This allows us to define certain surface measures on surfaces of convex bodies in a novel and simple way.

Comments: 7 Pages.

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Submission history

[v1] 2018-05-01 00:29:25
[v2] 2018-05-03 15:13:00 (removed)
[v3] 2018-05-06 01:48:26

Unique-IP document downloads: 28 times

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