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arXiv:2105.14643 [math.MG]AbstractReferencesReviewsResources

A Directional Curvature Formula for Convex Bodies in R^n

F. F. Pereira

Published 2021-05-30Version 1

For a compact convex set F in R^n, with the origin in its interior, we present a formula to compute the curvature at a fixed point on its boundary, in the direction of any tangent vector. This formula is equivalent to the existing ones, but it is easier to apply.

Comments: 24 pages
Categories: math.MG
Subjects: 52A20, 53A04, 53A05
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