Extending Yamabe flow on complete Riemannian manifolds

DOI10.1016/j.bulsci.2012.06.004zbMath1255.53035OpenAlexW1982879037WikidataQ115359971 ScholiaQ115359971MaRDI QIDQ695684

Anqiang Zhu, Li Ma, Liang Cheng

Publication date: 14 December 2012

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2012.06.004

zbMATH Keywords

scalar curvatureMoser iterationYamabe flowextending problem

Mathematics Subject Classification ID

Related Items (15)

First eigenvalues of geometric operators under the Yamabe flow ⋮ Continuous maximal regularity on singular manifolds and its applications ⋮ Gap theorems for locally conformally flat manifolds ⋮ The Yamabe flow on asymptotically flat manifolds ⋮ Long time existence of Yamabe flow on singular spaces with positive Yamabe constant ⋮ Convergence of the Yamabe flow on singular spaces with positive Yamabe constant ⋮ New Yamabe-type flow in a compact Riemannian manifold ⋮ Normalized Yamabe flow on manifolds with bounded geometry ⋮ The Yamabe flow on incomplete manifolds ⋮ The Gauss–Bonnet–Chern mass under geometric flows ⋮ Continuous maximal regularity on uniformly regular Riemannian manifolds ⋮ Yamabe flow and metrics of constant scalar curvature on a complete manifold ⋮ On the curvature estimates for the conformal Ricci flow ⋮ Infinite-time incompleteness of noncompact Yamabe flow ⋮ Gradient estimates for a general type of nonlinear parabolic equations under geometric conditions and related problems

Cites Work

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• The yamabe flow on locally conformally flat manifolds with positive ricci curvature
• Convergence of the Yamabe flow for large energies
• A Compactness Property for Solutions of the Ricci Flow
• Riemannian geometry

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