Bi-orthogonal coordinates without assumed dual connections
Bi-orthogonal coordinates without assumed dual connections. Current research status is unassessed. The dated source poses this question; inclusion does not certify that it remains open today.
Editorial MSC2020 mapping of Bi-orthogonal coordinates without assumed dual connections. https://arxiv.org/html/2509.06989v1#S5 Not an author-supplied code.
Problem statement
Characterize Riemannian manifolds admitting overlapping coordinates with , without first postulating mutually dual affine connections.
Lean 4
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Background
Editorial question summary. Consult the linked source for the complete model, assumptions and discussion.
Progress & source assessment
Current research status is unassessed. The dated source poses this question; inclusion does not certify that it remains open today.
- [1]Sei, Tomonari; Matsuzoe, Hiroshi. FDIG 2025 — Open Problems in Information Geometry (2025).; Bi-orthogonal coordinates without assumed dual connections linkIndependently written short question summaries and bibliographic pointers. No blanket redistribution license asserted for the original text.
Recorded progress
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Discussion
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