Killing Vector Fields on Complete Riemannian Manifolds

DOI10.2307/2043822zbMath0477.53041OpenAlexW4253111345WikidataQ125741266 ScholiaQ125741266MaRDI QIDQ3935089

Shinsuke Yorozu

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2043822

zbMATH Keywords

Ricci curvatureKilling vector fieldcomplete Riemannian manifoldfinite global norm

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (12)

\(A_ X\)-operator on complete Riemannian manifolds ⋮ Infinitesimal transformations on noncompact manifold ⋮ Geodesic vector fields and eikonal equation on a Riemannian manifold ⋮ Families of degenerating Poincaré-Einstein metrics on \(\mathbb{R}^4\) ⋮ Groups of transformations of Riemannian manifolds ⋮ Strongly and weakly affine vector fields on Finsler manifolds ⋮ A note on compact hypersurfaces in a Euclidean space ⋮ Characterizations of Einstein manifolds and odd-dimensional spheres ⋮ \(A_{\nu}\)-operator on complete foliated Riemannian manifolds ⋮ Killing vector fields on non-compact Riemannian manifolds with boundary ⋮ The non-existence of Killing fields ⋮ A note on some remarkable differential equations on a Riemannian manifold

Cites Work

• Carleman estimates for the Laplace-Beltrami equation on complex manifolds
• On Automorphisms of A Kählerian Structure
• [https://portal.mardi4nfdi.de/wiki/Publication:3902196 Nonexistence of Nontrivial □ � � -Harmonic 1-Forms on a Complete Foliated Riemannian Manifold]
• Unnamed Item

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