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.
An introduction to contact topology , volume =
4 Pith papers cite this work. Polarity classification is still indexing.
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CR Paneitz operator on non-embeddable 3D tori has infinitely many negative eigenvalues under mild assumptions.
Conjecture that simple geodesics on finite modular covers have transcendental or algebraic endpoints, proved for minimal laminations.
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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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.