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On the additive properties of geometric measures
Meyer, Mark
Meyer, Mark
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d25012_Meyer.pdf
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2025-05
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Dissertation
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Electronic dissertation
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We study the Minkowski sums of compact sets in $R^n$, focusing on different geometric measures of these sums. We establish the equality conditions for the fractionally superadditive volume inequalities, resolve the Dyn–Farkhi conjecture in the case n = 2, and compute upper and lower bounds for the Schneider non-convexity index.
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Thesis (Ph.D.)-- Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics, and Physics
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Wichita State University
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© Copyright 2025 by Mark Meyer
All Rights Reserved