Some compact conformally flat manifolds with non-negative scalar curvature
From MaRDI portal
Publication:685197
DOI10.1007/BF01263660zbMath0792.53035OpenAlexW1978361633MaRDI QIDQ685197
Publication date: 30 September 1993
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01263660
Euler characteristicnonnegative scalar curvatureconformally flat manifoldsBetti numberYang-Mills functionalRicci operator
Related Items (7)
Tachibana-type theorems and special holonomy ⋮ A note on rigidity of Riemannian manifolds with positive scalar curvature ⋮ Low codimensional submanifolds of Euclidean space with nonnegative isotropic curvature ⋮ On conformally flat manifolds with constant positive scalar curvature ⋮ The length of the shortest closed geodesic in a closed Riemannian 3-manifold with nonnegative Ricci curvature ⋮ Locally conformally flat metrics on surfaces of general type ⋮ On complete conformally flat submanifolds with nullity in Euclidean space
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Conformal deformation of a Riemannian metric to constant scalar curvature
- Four-manifolds with positive curvature operator
- Conformally flat manifolds, Kleinian groups and scalar curvature
- Classification of certain compact Riemannian manifolds with harmonic curvature and non-parallel Ricci tensor
- Les variétés de dimension 4 à signature non nulle dont la courbure est harmonique sont d'Einstein
- Stability and isolation phenomena for Yang-Mills fields
- Curvature structures and conformal transformations
- The splitting theorem for manifolds of nonnegative Ricci curvature
- On torsion-free groups with infinitely many ends
- On conformally-flat spaces in the large
- Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
- Manifolds with pure non-negative curvature operator
- Characteristic classes
This page was built for publication: Some compact conformally flat manifolds with non-negative scalar curvature