Curvature increasing metric variations

DOI10.1007/BF01456991zbMath0616.53036MaRDI QIDQ1821362

Martin Strake

Publication date: 1987

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164226

zbMATH Keywords

nonnegative sectional curvaturemetric variationlocally convex subsetpositive variationtotally geodesically immersed flat 2-torus

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (7)

A splitting theorem for open nonnegatively curved manifolds ⋮ Positive biorthogonal curvature on $S^2\times S^2$ ⋮ Existence of Riemannian metrics with positive biorthogonal curvature on simply connected 5-manifolds ⋮ Canonical variation of a Lorentzian metric ⋮ Obstruction to positive curvature on homogeneous bundles ⋮ Examples of Riemannian manifolds with positive curvature almost everywhere ⋮ An exotic sphere with positive curvature almost everywhere.

Cites Work

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• Local convexity and nonnegative curvature - Gromov's proof of the sphere theorem
• Local convex deformations and sectional curvature
• Metric deformations of curvature. I: Local convex deformations
• Some examples of manifolds of nonnegative curvature
• On the structure of complete manifolds of nonnegative curvature
• Positively Curved Deformations of Invariant Riemannian Metrics
• Conjecture de H. Hopf sur les produits de variétés
• Quelques variations particulières d'un produit de métriques

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