Irreducible Torsion Sectors and Contracted α-Surface Quadratic Residuals

This paper classifies contracted torsionful α\alphaα-surface linearity by irreducible Riemann-Cartan torsion sector. It separates representation-allowed, Esposito-selected, and expansion-recovered quadratic obstructions, showing that vector-type torsion is forced-linear, pure tensor torsion is native-display linear but recovered in the certified comparison layer, and mixed vector--tensor torsion gives the first selected nonlinear boundary.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-02
DOI
https://doi.org/10.5281/zenodo.20612292
Primary Topic
Geometric Analysis and Curvature Flows
Type
preprint
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preprint

Irreducible Torsion Sectors and Contracted α-Surface Quadratic Residuals

Hiroyuki Shioiri
Zenodo (CERN European Organization for Nuclear Research)
Geometric Analysis and Curvature Flows
preprint

Irreducible Torsion Sectors and Contracted α-Surface Quadratic Residuals

Hiroyuki Shioiri
preprint en

Abstract

This paper classifies contracted torsionful α\alphaα-surface linearity by irreducible Riemann-Cartan torsion sector. It separates representation-allowed, Esposito-selected, and expansion-recovered quadratic obstructions, showing that vector-type torsion is forced-linear, pure tensor torsion is native-display linear but recovered in the certified comparison layer, and mixed vector--tensor torsion gives the first selected nonlinear boundary.

Zenodo (CERN European Organization for Nuclear Research)
Geometric Analysis and Curvature Flows
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Irreducible Torsion Sectors and Contracted α-Surface Quadratic Residuals — Hiroyuki Shioiri · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS