Deformation of the weighted scalar curvature

DOI10.3842/sigma.2023.087zbMath1529.53030arXiv2311.02359OpenAlexW4388341627MaRDI QIDQ6063058

Jinwoo Shin, Pak Tung Ho

Publication date: 2 December 2023

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2311.02359

zbMATH Keywords

smooth metric measure spacesvacuum static spacesweighted scalar curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Unnamed Item
• Unnamed Item
• On scalar curvature rigidity of vacuum static spaces
• On the classification of warped product Einstein metrics
• Deformation of scalar curvature and volume
• A note on static spaces and related problems
• Deformations of \(Q\)-curvature. I
• Sur la géométrie d'une généralisation de l'équation différentielle d'Obata
• A differential equation arising from scalar curvature function
• Scalar curvature and conformal deformation of Riemannian structure
• Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures
• A direct approach to the determination of Gaussian and scalar curvature functions
• Deformations of the scalar curvature
• Deformation of the \(\sigma_2\)-curvature
• Smooth metric measure spaces, quasi-Einstein metrics, and tractors
• On the \(P\)-scalar curvature
• The weighted ambient metric
• Some constructions of formally self-adjoint conformally covariant polydifferential operators
• Curvature functions for compact 2-manifolds
• Prescribing the curvature of Riemannian manifolds with boundary
• The weighted \(\sigma_k\)-curvature of a smooth metric measure space
• On the asymptotics for the vacuum Einstein constraint equations
• Some decompositions of the space of symmetric tensors on a Riemannian manifolds
• On the \(\sigma_2\)-curvature and volume of compact manifolds
• Compact Einstein warped product spaces with nonpositive scalar curvature
• SMOOTH METRIC MEASURE SPACES AND QUASI-EINSTEIN METRICS
• Locally conformally flat quasi-Einstein manifolds
• Conformally variational Riemannian invariants
• Scalar curvature deformation and a gluing construction for the Einstein constraint equations

This page was built for publication: Deformation of the weighted scalar curvature