Sectional curvature and Weitzenbock formulae

DOI10.1512/iumj.2022.71.8927OpenAlexW4285108984MaRDI QIDQ5093774

Renato G. Bettiol, Ricardo A. E. Mendes

Publication date: 1 August 2022

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.09033

zbMATH Keywords

sectional curvatureHopf conjectureBochner techniqueWeitzenböck formulaeKulkarni-Nomizu product

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Global Riemannian geometry, including pinching (53C20) Hodge theory in global analysis (58A14) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Local Riemannian geometry (53B20)

Related Items (5)

Extremality and rigidity for scalar curvature in dimension four ⋮ On symmetric Killing tensors and Codazzi tensors of ranks \(p \geq 2\) ⋮ On higher-order Codazzi tensors on complete Riemannian manifolds ⋮ Convex Algebraic Geometry of Curvature Operators ⋮ Higher order derivatives of heat semigroups on spheres and Riemannian symmetric spaces

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