Metric deformations of curvature. I: Local convex deformations

DOI10.1007/BF00145952zbMath0345.53024MaRDI QIDQ1233222

Paul E. Ehrlich

Publication date: 1976

Published in: Geometriae Dedicata (Search for Journal in Brave)

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

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Generalized surgery on Riemannian manifolds of positive Ricci curvature ⋮ 3-manifolds with nonnegative Ricci curvature ⋮ Differential inclusions for the Schouten tensor and nonlinear eigenvalue problems in conformal geometry ⋮ Lower curvature bounds and cohomogeneity one manifolds. ⋮ The dihedral rigidity conjecture for \(n\)-prisms ⋮ Exotic spheres and curvature ⋮ Smooth scalar curvature decrease of big scale on a sphere ⋮ On the moduli space of positive Ricci curvature metrics on homotopy spheres ⋮ New connected sums with positive Ricci curvature ⋮ Ricci positive metrics on the moment-angle manifolds ⋮ Local convex deformations and sectional curvature ⋮ Effective versions of the positive mass theorem ⋮ Curvature increasing metric variations

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