A Directional Curvature Formula for Convex Bodies in R^n

Published 30 May 2021 in math.MG | (2105.14643v1)

Abstract: 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.

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F. F. Pereira

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