Axiomatic Second-Variation Geometry: Admissible Second-Order Response Forms and Symmetric–Antisymmetric Structure
Year: 2025
Type: preprint
Abstract: : An axiomatic framework for real functionals on separable Fréchet spaces decomposes the second Fréchet variation into symmetric (coercive Hilbert geometry) and compact skew-symmetric sectors under five structural axioms, yielding the Universal Convexity–Gap Theorem that bounds negative curvature along polynomial families, illustrated by embeddings in integer theory, Dirichlet series, and Boolean functions.
Author: Anonymous
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7107866189
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