Conjectures that simple geodesics on finite covers of the modular orbifold have rational, quadratic, or transcendental endpoints, with proofs for minimal geodesic laminations and the modular torus cover.
An introduction to contact topology , volume =
4 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 4verdicts
UNVERDICTED 4representative citing papers
A variational functional E on Riemannian metrics vanishes precisely when geodesics realize prescribed unparametrised paths, and every conformal class on a surface admits a unique (up to homothety) conformally critical metric for E.
CR Paneitz operator on non-embeddable 3D tori has infinitely many negative eigenvalues under mild assumptions.
Derives an obstruction formula for Poisson and Jacobi structures induced by 2-covariant tensors and recovers the classical brackets in symplectic, locally conformally symplectic, cosymplectic, and contact geometries.
citing papers explorer
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Transcendence of simple geodesics on finite modular covers
Conjectures that simple geodesics on finite covers of the modular orbifold have rational, quadratic, or transcendental endpoints, with proofs for minimal geodesic laminations and the modular torus cover.
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Prescribing geodesics and a variational problem for Riemannian metrics
A variational functional E on Riemannian metrics vanishes precisely when geodesics realize prescribed unparametrised paths, and every conformal class on a surface admits a unique (up to homothety) conformally critical metric for E.
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Non-embeddable torus and CR Paneitz operator
CR Paneitz operator on non-embeddable 3D tori has infinitely many negative eigenvalues under mild assumptions.
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Poisson and Jacobi structures from 2-covariant tensors
Derives an obstruction formula for Poisson and Jacobi structures induced by 2-covariant tensors and recovers the classical brackets in symplectic, locally conformally symplectic, cosymplectic, and contact geometries.