Yamabe flow and metrics of constant scalar curvature on a complete manifold

DOI10.1007/s00526-018-1470-3zbMath1409.53036OpenAlexW2907070443WikidataQ128637682 ScholiaQ128637682MaRDI QIDQ1755644

Xianqiang Yang

Publication date: 10 January 2019

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-018-1470-3

zbMATH Keywords

scalar curvatureYamabe flowasymptotic flat manifold

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Global Riemannian geometry, including pinching (53C20) Elliptic equations and elliptic systems (35J99)

Related Items (7)

Global Yamabe flow on asymptotically flat manifolds ⋮ The Yamabe flow on asymptotically flat manifolds ⋮ The Yamabe flow on asymptotically Euclidean manifolds with nonpositive Yamabe constant ⋮ Normalized Yamabe flow on manifolds with bounded geometry ⋮ The Gauss–Bonnet–Chern mass under geometric flows ⋮ Two flow approaches to the Loewner-Nirenberg problem on manifolds ⋮ Infinite-time incompleteness of noncompact Yamabe flow

Cites Work

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• The classification of locally conformally flat Yamabe solitons
• Yamabe flow and Myers type theorem on complete manifolds
• Expanding Ricci solitons with pinched Ricci curvature
• Extending Yamabe flow on complete Riemannian manifolds
• Convergence of the Yamabe flow for arbitrary initial energy
• Gap theorems for locally conformally flat manifolds
• Conformally flat manifolds, Kleinian groups and scalar curvature
• Deformation to positive scalar curvature on complete manifolds
• Positive solutions of elliptic equations
• Global existence and convergence of Yamabe flow
• The mass of asymptotically hyperbolic manifolds.
• Three-manifolds with positive Ricci curvature
• The mass of asymptotically hyperbolic Riemannian manifolds.
• Mass under the Ricci flow
• Convergence of the Yamabe flow in dimension 6 and higher
• SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS
• Yamabe flow and ADM mass on asymptotically flat manifolds
• Local monotonicity and mean value formulas for evolving Riemannian manifolds
• The mass of an asymptotically flat manifold
• The Yamabe problem
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
• A CERTAIN PROPERTY OF SOLUTIONS OF PARABOLIC EQUATIONS WITH MEASURABLE COEFFICIENTS
• The yamabe flow on locally conformally flat manifolds with positive ricci curvature
• Elliptic Partial Differential Equations of Second Order
• Poisson equation and Hermitian-Einstein metrics on vector bundles over complete noncompact Kahler manifolds
• Convergence of the Yamabe flow for large energies
• Pointwise estimates and quasilinear parabolic equations

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