This work demonstrates that pure axial torsion does not alter the recurrence locus of principal spinor flags, indicating significant geometric properties.
This work proves that pure axial torsion does not change the projective recurrence locus of principal spinor flags in four-dimensional Lorentzian geometry. It separates connection recurrence, Frobenius integrability, and full spinor identities, and gives a non-Einstein Kundt example with a simple recurrent principal flag.
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Hiroyuki Shioiri (2026) studied this question.
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