Conformal bach flow

DOI10.1007/s10455-023-09897-xOpenAlexW4361272077MaRDI QIDQ2697424

Peng Lu, Jie Qing, Jiaqi Chen

Publication date: 12 April 2023

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.08968

zbMATH Keywords

finite-time singularitybackward uniquenessshort-time existenceconformal bach flowShi's type \(L^2\) and pointwise estimate of derivatives

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Higher-order parabolic systems (35K41)

Cites Work

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• Geometric flows in Hořava-Lifshitz gravity gravity
• A note on conformal Ricci flow
• The gradient flow of the \(L^2\) curvature energy near the round sphere
• The gradient flow of the \(L^2\) curvature functional with small initial energy
• Global existence of the \(m\)-equivariant Yang-Mills flow in four-dimensional spaces
• The gradient flow of \(\int _M|Rm|^{2}\)
• Harmonic maps of manifolds with boundary
• The Yang-Mills flow in four dimensions
• The Willmore flow with small initial energy.
• Backward uniqueness for the conformal Ricci flow
• Conformal Ricci flow on asymptotically hyperbolic manifolds
• Three-manifolds with positive Ricci curvature
• Gradient flow for the Willmore functional
• The long time behavior of fourth order curvature flows
• On Bach-flat gradient shrinking Ricci solitons
• Long-time existence for Yang-Mills flow
• An energy approach to the problem of uniqueness for the Ricci flow
• Backwards Uniqueness for the Ricci Flow
• Short-Time Existence for Some Higher-Order Geometric Flows
• The Gradient Flow of the L2 Curvature Energy on Surfaces
• Conformal Volume Collapse of 3-Manifolds and the Reduced Einstein Flow
• A short proof of backward uniqueness for some geometric evolution equations
• Uniqueness for some higher-order geometric flows
• Global existence of the equivariant Yang-Mills heat flow in four space dimensions
• An introduction to conformal Ricci flow
• Ambient obstruction flow
• Analytic semigroups and optimal regularity in parabolic problems

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