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Wichita State University

On the additive properties of geometric measures

Abstract

We study the Minkowski sums of compact sets in Rn, 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.

Author and committee

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Author
  • Meyer, Mark

Identifiers

dc:identifier.*
Identifier
hdl:10057/30114
OAI identifier oai:identifier
oai:soar.wichita.edu:10057/30114

Chain of custody

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Wichita State University
Base URL
soar.wichita.edu/oai/request
Last updated
2026-07-24
Source record
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citation

Meyer, Mark. On the additive properties of geometric measures. 2025.