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arXiv · 2105.14643

A Directional Curvature Formula for Convex Bodies in R^n

F. F. Pereira
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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. 2021-05-30. A Directional Curvature Formula for Convex Bodies in R^n. https://arxiv.org/abs/2105.14643

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