3 problems
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Brin's strict 1/4-pinching conjecture for ergodicity of the frame flow
Let be a negatively curved Riemannian manifold whose sectional curvature satisfies … Here, strict 1/4-pinching means that the sectional curvature lies strictly between and…
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The mechanical-manifold topology conjecture for phase transitions
In a system with a mechanical Hamiltonian flow represented as a geodesic flow on a suitably defined Riemannian manifold, the geometric signatures of a phase transition are associat…
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Conjecture on realizing e-geodesics as EAHLE trajectories
Conjecture. All the e-geodesics on the QSS are realized as EAHLE trajectories up to the adjoint actions on the QSS and affine transformations of time.