Generalized space forms
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Publication:2781406
DOI10.1090/S0002-9947-02-02966-5zbMath0990.53032OpenAlexW1538117105MaRDI QIDQ2781406
Publication date: 19 March 2002
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-02-02966-5
Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (20)
Applications of Toponogov's comparison theorems for open triangles ⋮ Geometry and topology of manifolds with integral radial curvature bounds ⋮ \(\mathcal{M}\)-convex hypersurfaces with prescribed shifted Gaussian curvature in warped product manifolds ⋮ Eigenvalue inequalities for the \(p\)-Laplacian on a Riemannian manifold and estimates for the heat kernel ⋮ Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below. I ⋮ Ricci curvature, radial curvature and large volume growth ⋮ Spherical symmetrization and the first eigenvalue of geodesic disks on manifolds ⋮ Functional inequalities and manifolds with nonnegative weighted Ricci curvature ⋮ Eigenvalue estimates for the drifting Laplacian and the p-Laplacian on submanifolds of warped products ⋮ Eigenvalue comparisons in Steklov eigenvalue problem and some other eigenvalue estimates ⋮ Comparison geometry referred to warped product models ⋮ Sufficient conditions for open manifolds to be diffeomorphic to Euclidean spaces ⋮ A volume comparison estimate with radially symmetric Ricci curvature lower bound and its applications ⋮ Unnamed Item ⋮ Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below. II ⋮ Volume comparison theorems for manifolds with radial curvature bounded ⋮ Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below. III ⋮ On sufficient conditions to extend Huber's finite connectivity theorem to higher dimensions ⋮ Differentiable sphere theorems whose comparison spaces are standard spheres or exotic ones ⋮ The Caffarelli-Kohn-Nirenberg inequalities and manifolds with nonnegative weighted Ricci curvature
Cites Work
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- An improved Toponogov comparison theorem for nonnegatively curved manifolds
- Function theory on manifolds which possess a pole
- Conjugate loci of constant order
- Propriétés globales des espaces de Riemann harmoniques
- Lower curvature bounds, Toponogov's theorem, and bounded topology
- Lower curvature bounds, Toponogov's theorem, and bounded topology. II
- Manifolds with minimal radial curvature bounded from below and big volume
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