Conformal vector fields and their applications to Einstein-type manifolds

DOI10.1007/S00025-023-02070-7MaRDI QIDQ6143228

Gabjin Yun, Seungsu Hwang

Publication date: 4 January 2024

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Einstein manifoldcritical point equationvacuum static spaceconformal vector field

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Conformal structures on manifolds (53C18)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on static spaces and related problems
• Geometry of conformal vector fields
• Total scalar curvature and harmonic curvature
• Erratum to: ``Total scalar curvature and harmonic curvature
• Einstein spaces admitting a one-parameter group of conformal transformations
• Sur la géométrie d'une généralisation de l'équation différentielle d'Obata
• Lagrangian submanifolds of \(C^n\) with conformal Maslov form and the Whitney sphere
• A negative answer to a conjecture of conformal transformations of Riemannian manifolds
• Elliptic partial differential equations of second order
• Conformal vector fields and the de-Rham Laplacian on a Riemannian manifold with boundary
• On critical point equation of compact manifolds with zero radial Weyl curvature
• Closed conformal vector fields
• Conformal changes of Riemannian metrics
• Conformal transformations of Riemannian manifolds
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Unicity of constant mean curvature hypersurfaces in some riemannian manifolds
• Geometric Analysis
• Critical point equation and closed conformal vector fields

This page was built for publication: Conformal vector fields and their applications to Einstein-type manifolds