Work

Sharp Power Inequalities for Shared Double-Cone Area and Volume Data

Year: 2026

Type: preprint

Abstract: Positive area and volume data matching one common double-cone parameter satisfy an exact scale-invariant power identity. Minimization determines the best lower coefficients for every positive exponent pair and the unique exponent ray admitting both a positive lower and a finite upper bound. A different body realizing the same data illustrates the distinction between matching data and determining shape.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.23887930

Author: Guo, Ziping

Language: English

Topic: Point processes and geometric inequalities

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225075545

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