Comparison theorems and hypersurfaces
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Publication:1101696
DOI10.1007/BF01174796zbMath0642.53044OpenAlexW2065743193WikidataQ126111424 ScholiaQ126111424MaRDI QIDQ1101696
Publication date: 1987
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/155252
Related Items (33)
Asymptotically flat manifolds of nonnegative curvature ⋮ Surgery stable curvature conditions ⋮ Mean curvature flow of singular Riemannian foliations ⋮ The Euler characteristic and signature of four-dimensional closed manifolds and the normalized Ricci flow equation ⋮ A note on Cheeger's isoperimetric constant ⋮ Maximum principle for hypersurfaces ⋮ Kähler tubes of constant radial holomorphic sectional curvature ⋮ Geometric vector fields on Lie groups ⋮ A barrier principle at infinity for varifolds with bounded mean curvature ⋮ Comparison theory in Lorentzian and Riemannian geometry ⋮ How to produce a Ricci flow via Cheeger-Gromoll exhaustion ⋮ Direct and Inverse Results on Bounded Domains for Meshless Methods via Localized Bases on Manifolds ⋮ Small eigenvalues and thick-thin decomposition in negative curvature ⋮ Achronal limits, Lorentzian spheres, and splitting ⋮ Regularity of Lorentzian Busemann Functions ⋮ Volume preserving mean curvature flow of revolution hypersurfaces between two equidistants ⋮ The spectrum of the Laplacian of manifolds of positive curvature ⋮ Estimates for the curvature of a submanifold which lies inside a tube ⋮ New \(\mathrm{G}_2\)-holonomy cones and exotic nearly Kähler structures on \(S^6\) and \(S^3\times S^3\) ⋮ Sharp upper bound for the first eigenvalue ⋮ On strictly convex subsets in negatively curved manifolds ⋮ Metric foliations and curvature ⋮ Unnamed Item ⋮ Volume growth of open manifolds with nonnegative curvature ⋮ The Steklov and Laplacian spectra of Riemannian manifolds with boundary ⋮ \(\Sigma\)-flat manifolds and Riemannian submersions ⋮ Comparison theory for Riccati equations ⋮ Area estimates and rigidity of non-compact 𝐻-surfaces in 3-manifolds ⋮ Critical values of homology classes of loops and positive curvature ⋮ Bounded mean curvature isometric immersions of a compact Riemannian manifold with images contained in a tube ⋮ The initial value problem for cohomogeneity one Einstein metrics ⋮ Geodesics without conjugate points and curvatures at infinity ⋮ Quantitative Sobolev extensions and the Neumann heat kernel for integral Ricci curvature conditions
Cites Work
- Unnamed Item
- Examples of complete manifolds with positive Ricci curvature
- Local convexity and nonnegative curvature - Gromov's proof of the sphere theorem
- Gap theorems for certain submanifolds of Euclidean spaces and hyperbolic space forms
- Jacobi tensors and Ricci curvature
- Geometry of horospheres
- Eigenvalue comparison theorems and its geometric applications
- When is a geodesic flow of Anosov type, I
- A theorem of E. Hopf
- Riccati differential equations
- A general comparison theorem with applications to volume estimates for submanifolds
- A Sphere Theorem for Manifolds of Positive Ricci Curvature
- Riemannian center of mass and mollifier smoothing
- The Large Scale Structure of Space-Time
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