New proofs of Perelman's theorem on shrinking breathers in Ricci flow

DOI10.1007/S12220-017-9974-1zbMath1407.53068arXiv1705.08325OpenAlexW2962987390WikidataQ113899597 ScholiaQ113899597MaRDI QIDQ1711071

Peng Lu, Yu Zheng

Publication date: 16 January 2019

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08325

zbMATH Keywords

Ricci flowgradient Ricci solitonsshrinking breatherstype-I solutions

Mathematics Subject Classification ID

Related Items (3)

A no shrinking breather theorem for noncompact harmonic Ricci flows ⋮ Nontrivial breathers for Ricci flow ⋮ Perelman-type no breather theorem for noncompact Ricci flows

Cites Work

• Unnamed Item
• On type-I singularities in Ricci flow
• A no breathers theorem for some noncompact Ricci flows
• The conjugate heat equation and ancient solutions of the Ricci flow
• Eternal solutions to the Ricci flow
• Ricci solitons on compact three-manifolds
• Entropy and reduced distance for Ricci expanders
• Noncompact shrinking four solitons with nonnegative curvature

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