Reach of Segre-Veronese Manifolds
Paul Breiding, Sarah Eggleston
TL;DR
This paper calculates geometric properties such as reach, extremal curvature, and volume of tubular neighborhoods for Segre-Veronese varieties intersected with the unit sphere, providing insights into their geometric complexity.
Contribution
It introduces explicit computations of reach and related geometric measures for Segre-Veronese manifolds, advancing understanding of their geometric structure.
Findings
Computed the reach of Segre-Veronese manifolds.
Derived extremal curvature values.
Calculated volume of tubular neighborhoods.
Abstract
We compute the reach, extremal curvature and volume of a tubular neighborhood for the Segre-Veronese variety intersected with the unit sphere.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Numerical Analysis Techniques · Meromorphic and Entire Functions