Short-Time Existence for Some Higher-Order Geometric Flows

DOI10.1080/03605302.2011.593015zbMath1242.53079arXiv1010.4287OpenAlexW2070836342MaRDI QIDQ3106559

Eric Bahuaud, Dylan Helliwell

Publication date: 28 December 2011

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.4287

zbMATH Keywords

short-time existenceambient obstruction tensorBach flowhigh-order geometric flowshigh-order parabolic Schauder estimate

Mathematics Subject Classification ID

Related Items (16)

The biharmonic heat operator on edge manifolds and non-linear fourth order equations ⋮ GRADIENT FLOWS OF HIGHER ORDER YANG–MILLS–HIGGS FUNCTIONALS ⋮ Uniqueness for some higher-order geometric flows ⋮ An energy approach to uniqueness for higher-order geometric flows ⋮ Gradient generalized \(\eta\)-Ricci soliton and contact geometry ⋮ Bach flow of simply connected nilmanifolds ⋮ On non-compact gradient solitons ⋮ Ambient obstruction flow ⋮ Conformal bach flow ⋮ Unnamed Item ⋮ Ricci flow of conformally compact metrics ⋮ Gradient ambient obstruction solitons on homogeneous manifolds ⋮ Bach flow on homogeneous products ⋮ Bach flow ⋮ Higher order Seiberg-Witten functionals and their associated gradient flows ⋮ On Bach almost solitons

Cites Work

• The long time behavior of fourth order curvature flows
• On the heat equation and the index theorem
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