MathDB2 problems
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Katok's conjecture on unstable homogeneous flows
Katok's conjecture. Every homogeneous flow on a compact homogeneous space that fails to be stable projects onto a Liouvillean linear flow on a torus. In this case, the flow is stil…
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Katok–Hurder conjecture on cohomology-free vector fields
Katok–Hurder conjecture. Every cohomology-free vector field is smoothly conjugate to a linear flow on a torus with Diophantine frequencies.