A cone metric on 2x2 symmetric matrices makes eigenvector frames parallel under its Levi-Civita connection, encoding the geometric phase as holonomy.
Perturbation Theory for Linear Operators
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Geometric phase and holonomy in the space of 2-by-2 symmetric operators
A cone metric on 2x2 symmetric matrices makes eigenvector frames parallel under its Levi-Civita connection, encoding the geometric phase as holonomy.