MathDB2 problems
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Existence of nonconstant-wind examples satisfying the cut-locus conditions
Existence conjecture. We conjecture that such examples exist, leaving their concrete construction for future research.
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Chern's conjecture on three-dimensional Finslerian Einstein metrics
In dimension three, a Riemannian Einstein metric is equivalent to a metric of constant sectional curvature. Chern's conjecture. This equivalence does not hold for Finslerian Einste…