Short geodesics and gravitational instantons
From MaRDI portal
Publication:910734
DOI10.4310/jdg/1214444097zbMath0696.53029OpenAlexW1608729807WikidataQ115182336 ScholiaQ115182336MaRDI QIDQ910734
Publication date: 1990
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1214444097
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20)
Related Items (32)
Aspects of global Riemannian geometry ⋮ Spectral convergence of Riemannian manifolds ⋮ An excess sphere theorem ⋮ Bounding homotopy and homology groups by curvature and diameter ⋮ Discrete homotopy theory and critical values of metric spaces ⋮ Complete bounded \(\lambda\)-hypersurfaces in the weighted volume-preserving mean curvature flow ⋮ A finiteness theorem for Ricci curvature in dimension three ⋮ Recognizing the flat torus among \(\mathsf{RCD}^*(0,N)\) spaces via the study of the first cohomology group ⋮ Extension of Bishop-Gromov volume comparison theorem by elliptic operators ⋮ The log-Sobolev inequality for a submanifold in manifolds with asymptotic non-negative intermediate Ricci curvature ⋮ Curvature, diameter and bounded Betti numbers ⋮ A note on the fundamental groups of manifolds with almost nonnegative curvature ⋮ On manifold of positive Ricci curvature with large diameter ⋮ Metrics of positive Ricci curvature with large diameter ⋮ Convergence and rigidity of manifolds under Ricci curvature bounds ⋮ Hausdorff convergence and universal covers ⋮ Bounds on the fundamental groups with integral curvature bound ⋮ Fundamental groups of spaces with Bakry-Emery Ricci tensor bounded below ⋮ Comparison geometry for an extension of Ricci tensor ⋮ Hausdorff perturbations of Ricci-flat manifolds and the splitting theorem ⋮ Volume entropy based on integral Ricci curvature and volume ratio ⋮ Orbifold compactness for spaces of Riemannian metrics and applications ⋮ Effective universal coverings and local minima of the length functional on loop spaces ⋮ On scalar and Ricci curvatures ⋮ Volume growth of open manifolds with nonnegative curvature ⋮ A Bakry-Émery almost splitting result with applications to the topology of black holes ⋮ Essential circles and Gromov–Hausdorff convergence of covers ⋮ On the Fundamental Groups of Manifolds with Almost-Nonnegative Ricci Curvature ⋮ Examples with bounded diameter growth and infinite topological type ⋮ Ricci curvature and Betti numbers ⋮ Manifolds of almost nonnegative curvature ⋮ Semi-local simple connectedness of non-collapsing Ricci limit spaces
This page was built for publication: Short geodesics and gravitational instantons
