How to lift positive Ricci curvature
From MaRDI portal
Publication:2346440
DOI10.2140/gt.2015.19.1409zbMath1318.53029arXiv1311.1809OpenAlexW3101358307WikidataQ125783000 ScholiaQ125783000MaRDI QIDQ2346440
Catherine Searle, Frederick H. jun. Wilhelm
Publication date: 2 June 2015
Published in: Geometry \& Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.1809
Related Items (11)
Generalized surgery on Riemannian manifolds of positive Ricci curvature ⋮ Regularization via Cheeger deformations ⋮ Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions ⋮ The concept of Cheeger deformations on fiber bundles with compact structure group ⋮ A panoramic glimpse of manifolds with sectional curvature bounded from below ⋮ Almost non-negative curvature and rational ellipticity in cohomogeneity two ⋮ ALMOST NONNEGATIVE CURVATURE ON SOME FAKE 6- AND 14-DIMENSIONAL PROJECTIVE SPACES ⋮ Moduli space of metrics of nonnegative sectional or positive Ricci curvature on homotopy real projective spaces ⋮ Diffeomorphism stability and codimension three ⋮ Torus actions, maximality, and non-negative curvature ⋮ Positive Ricci curvature on fiber bundles with compact structure group
Cites Work
- Flats and submersions in non-negative curvature
- On a new definition of Ricci curvature on Alexandrov spaces
- On manifolds homeomorphic to the 7-sphere
- On the differential geometry of tangent bundles of Riemannian manifolds
- Positive Ricci curvature on fibre bundles
- Collapsing and pinching under a lower curvature bound
- The fundamental groups of almost nonnegatively curved manifolds
- An exotic sphere with nonnegative sectional curvature
- Some exotic spheres with positive Ricci curvature
- Scalar curvature, non-abelian group actions, and the degree of symmetry of exotic spheres
- A generalized sphere theorem
- Integrals of subharmonic functions on manifolds of nonnegative curvature
- A new version of differentiable sphere theorem
- Examples of Riemannian manifolds with positive curvature almost everywhere
- Exotic spheres with positive Ricci curvature
- Invariant metrics of positive Ricci curvature on principal bundles
- Sasakian geometry, homotopy spheres and positive Ricci curvature.
- Cohomogeneity one manifolds with positive Ricci curvature
- Curvature and symmetry of Milnor spheres
- Cheeger manifolds and the classification of biquotients.
- The geometry of the Hopf fibrations
- Some examples of manifolds of nonnegative curvature
- Metrics of positive Ricci curvature on quotient spaces
- Homogeneous Riemannian manifolds of positive Ricci curvature
- On the curvature on \(G\)-manifolds with finitely many non-principal orbits
- Ricci curvature for metric-measure spaces via optimal transport
- \(G\)-manifolds with positive Ricci curvature and many isolated singular orbits
- On the measure contraction property of metric measure spaces
- A duality theorem for Riemannian foliations in nonnegative sectional curvature
- On the geometry of metric measure spaces. I
- On the geometry of metric measure spaces. II
- The fundamental equations of a submersion
- An invariant for certain smooth manifolds
- Positive biorthogonal curvature on $S^2\times S^2$
- New examples of obstructions to non-negative sectional curvatures in cohomogeneity one manifolds
- Improving the metric in an open manifold with nonnegative curvature
- Some Group Actions on Homotopy Spheres of Dimension Seven and Fifteen
- Riemannian submersions need not preserve positive Ricci curvature
- Differentiable Structures on the 15-Sphere and Pontrjagin Classes of Certain Manifolds
- Infinitesimal Bishop-Gromov condition for Alexandrov spaces
- Metric foliations and curvature
- Exotic spheres with lots of positive curvatures
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: How to lift positive Ricci curvature