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· 2054 · DOI 10.1016/j.laa.2011.03.063

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cs.CG 1

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2026 1

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UNVERDICTED 1

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Cauchy's Surface Area Formula in the Funk Geometry

cs.CG · 2026-01-23 · unverdicted · novelty 7.0

An analog of Cauchy's surface area formula is established for Funk geometry on a convex body K using Holmes-Thompson area and central projections, reducing to a weighted vertex sum for polytopes and yielding a generalized Crofton formula.

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  • Cauchy's Surface Area Formula in the Funk Geometry cs.CG · 2026-01-23 · unverdicted · none · ref 19

    An analog of Cauchy's surface area formula is established for Funk geometry on a convex body K using Holmes-Thompson area and central projections, reducing to a weighted vertex sum for polytopes and yielding a generalized Crofton formula.