Evolution of relative Yamabe constant under Ricci flow

zbMath1444.53060arXiv1901.11169MaRDI QIDQ782387

Peng Lu, Boris Botvinnik

Publication date: 27 July 2020

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.11169

zbMATH Keywords

critical metricsEinstein-Hilbert functionalsub-critical Yamabe problem

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Elliptic equations on manifolds, general theory (58J05) Surgery and handlebodies (57R65) Conformal structures on manifolds (53C18) Ricci flows (53E20)

Related Items (1)

Evolution of Yamabe constant along the Ricci-Bourguignon flow

Cites Work

• The Ricci flow on manifolds with boundary
• A decomposition of the space \(\mathcal M\) of Riemannian metrics on a manifold
• Evolution of Yamabe constant under Ricci flow
• The Yamabe problem on manifolds with boundary
• The relative Yamabe invariant
• An existence theorem for the Yamabe problem on manifolds with boundary
• Existence results for the Yamabe problem on manifolds with boundary

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