affine connections 1almost product structure 1curvature 1golden structure 1hessian manifolds 1metallic structure 1
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math.DG2026
Golden and Metallic Structures on Hessian Manifolds
Jonathan Washburn, Milan ZlatanoviÄ
The paper studies a degenerate Hessian geometry arising from a reciprocal cost function and introduces a family of nondegenerate Hessian metrics to build a (1,1)-tensor whose trace…
math.DG2026
Multidimensional cost geometry
Jonathan Washburn, Milan ZlatanoviÄ, Philip Beltracchi
In this paper, we study the geometric structure induced by the canonical reciprocal cost function and its natural -dimensional extension. In logarithmic coordinates, the potenti…