Complex ellipsoids and complex symmetry
Jorge Arocha, Javier Bracho, Luis Montejano
TL;DR
This paper explores characterizations of complex ellipsoids and complex symmetry in convex bodies within Cn, using sections and projections, providing new insights into their geometric properties.
Contribution
It introduces novel characterizations of complex ellipsoids and symmetry based on sections and projections of convex bodies in complex space.
Findings
Characterizations of complex ellipsoids via sections and projections
New criteria for complex symmetry in convex bodies
Enhanced understanding of geometric properties in Cn
Abstract
Several characterizations of complex ellipsoids among convex bodies in Cn, in terms of their sections and projections are proved. Characterizing complex symmetry in similar terms is an important tool.
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Taxonomy
TopicsPoint processes and geometric inequalities