An elementary proof of the Cheeger-Gromoll splitting theorem
From MaRDI portal
Publication:799249
DOI10.1007/BF01876506zbMath0548.53041OpenAlexW1997072604MaRDI QIDQ799249
Jost-Hinrich Eschenburg, Ernst Heintze
Publication date: 1984
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01876506
Related Items
Geometry of weighted Lorentz–Finsler manifolds II: A splitting theorem, Local convexity and nonnegative curvature - Gromov's proof of the sphere theorem, Aspects of global Riemannian geometry, Riemannian manifolds with flat ends, On Riemannian manifolds admitting a function whose gradient is of constant norm, Maximum principle for hypersurfaces, Riemannian submersions and the regular interval theorem of Morse theory, Locally Lipschitz graph property for lines, On Calabi's strong maximum principle via local semi-Dirichlet forms, Regularity of Lorentzian Busemann Functions, New restrictions on the topology of extreme black holes, The Riemannian and Lorentzian Splitting Theorems, A warped product splitting theorem, Splitting theorems on complete Riemannian manifolds with nonnegative Ricci curvature, Local Splitting Theorems for Riemannian Manifolds, A topological splitting theorem for weighted Alexandrov spaces, Singularity theorems and the Lorentzian splitting theorem for the Bakry-Emery-Ricci tensor, Ends of Riemannian manifolds with nonnegative Ricci curvature outside a compact set, Geometrical and analytical properties of Chebyshev sets in Riemannian manifolds, A Gap Theorem for Ends of Complete Manifolds, On Complete Manifolds With Nonnegative Ricci Curvature, Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature, Totally geodesic maps into manifolds with no focal points, A generalization of the Cheeger-Gromoll splitting theorem, Laplacian comparison theorem on Riemannian manifolds with modified \(m\)-Bakry-Emery Ricci lower bounds for \(m\leq1\), Open manifolds of nonnegative curvature
Cites Work
- Unnamed Item
- Unnamed Item
- An extension of E. Hopf's maximum principle with an application to Riemannian geometry
- Jacobi tensors and Ricci curvature
- An elementary method in the study of nonnegative curvature
- The splitting theorem for manifolds of nonnegative Ricci curvature
- Riemannian spaces which contain straight lines