In this paper, we study curvature inequalities on a GLSM when the ambient space is equipped with a QSMC. Our focus is on the relationships between intrinsic and extrinsic curvatures arising in information geometry. The interplay between the golden-like structure and QSMC yields additional geometric constraints, extending known inequalities for statistical manifolds and suggesting consequences for optimization.
Nisar et al. (Mon,) studied this question.
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