Rigidity of surfaces with no conjugate points

DOI10.4310/jdg/1214447537zbMath0723.53024OpenAlexW1560118477WikidataQ115181436 ScholiaQ115181436MaRDI QIDQ756714

Gerhard Knieper, Keith Burns

Publication date: 1991

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214447537

zbMATH Keywords

rigidityRiccati equationcylinderplaneparallel axiomno conjugate points

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Surfaces in Euclidean and related spaces (53A05)

Related Items (10)

On the geodesic flow of tori without conjugate points ⋮ On tori without conjugate points ⋮ Bounded distance geodesic foliations in Riemannian planes ⋮ Rigidity of Riemannian embeddings of discrete metric spaces ⋮ Busemann functions and barrier functions ⋮ A synthetic characterization of the hemisphere ⋮ Riemannian rigidity of the parallel postulate in total curvature ⋮ Relative radial mass and rigidity of some warped product manifolds ⋮ Open problems and questions about geodesics ⋮ Asymptotically Euclidean metrics without conjugate points are flat

This page was built for publication: Rigidity of surfaces with no conjugate points