For a compact connected smooth manifold of dimension at least three with smooth boundary and any nonempty open boundary patch, equality of zero-frequency same-patch boundary measurements for two smooth metrics and smooth unitary connections on the trivial rank-two Hermitian bundle implies they differ only by a patch-fixing diffeomorphism and a patch-identity unitary gauge.
For a compact connected smooth manifold of dimension at least three with smooth boundary and any nonempty open boundary patch, equality of zero-frequency same-patch boundary measurements for two smooth metrics and smooth unitary connections on the trivial rank-two Hermitian bundle implies they differ only by a patch-fixing diffeomorphism and a patch-identity unitary gauge.
For a compact connected smooth manifold of dimension at least three with smooth boundary and any nonempty open boundary patch, equality of zero-frequency same-patch boundary measurements for two smooth metrics and smooth unitary connections on the trivial rank-two Hermitian bundle implies they differ only by a patch-fixing diffeomorphism and a patch-identity unitary gauge.
If correct, gives simultaneous smooth uniqueness for geometry and a rank-two unitary connection from one local boundary measurement operator.
Do one-patch boundary measurements determine both a smooth metric and a unitary connection up to gauge?
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OpenAI reports joint metric and connection recovery from one boundary patch
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