Conjugacy and rigidity for manifolds with a parallel vector field
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Publication:1330396
DOI10.4310/jdg/1214455076zbMath0807.53035OpenAlexW1530223213WikidataQ115179548 ScholiaQ115179548MaRDI QIDQ1330396
Christopher B. Croke, Bruce Kleiner
Publication date: 18 July 1994
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1214455076
Global Riemannian geometry, including pinching (53C20) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)
Related Items (21)
What does a vector field know about volume? ⋮ Lens rigidity with partial data in the presence of a magnetic field ⋮ Higher systolic inequalities for 3-dimensional contact manifolds ⋮ An entropic characterization of the flat metrics on the two torus ⋮ Boundary and lens rigidity of finite quotients ⋮ On certain geodesic conjugacies of flat cylinders ⋮ Stability for the Lens rigidity problem ⋮ A foliated and reversible Finsler manifold is determined by its broken scattering relation ⋮ Lens rigidity for manifolds with hyperbolic trapped sets ⋮ Geodesic conjugacy for geodesically reversible Finsler metrics ⋮ On some measures associated to the geodesic flow ⋮ Inverse problems: seeing the unseen ⋮ Scattering rigidity for analytic Riemannian manifolds with a possible magnetic field ⋮ Entropy rigidity of negatively curved manifolds of finite volume ⋮ Recovery of the \(C ^\infty\) jet from the boundary distance function ⋮ Boundary rigidity with partial data ⋮ Sharp systolic inequalities for Riemannian and Finsler spheres of revolution ⋮ Travel time tomography ⋮ -rigidity of Lagrangian submanifolds and punctured holomorphic disks in the cotangent bundle ⋮ Open problems and questions about geodesics ⋮ Asymptotically Euclidean metrics without conjugate points are flat
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