Evolution of a geometric constant along the Ricci flow

DOI10.1186/S13660-016-1003-6zbMath1335.58006OpenAlexW2279502803WikidataQ59438990 ScholiaQ59438990MaRDI QIDQ5964722

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Publication date: 1 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1003-6

zbMATH Keywords

Ricci flowconjugate heat equationnormalized Ricci flow

Mathematics Subject Classification ID

Heat and other parabolic equation methods for PDEs on manifolds (58J35) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (3)

Evolution and monotonicity of geometric constants along the extended Ricci flow ⋮ A class of monotonic quantities along the Yamabe flow ⋮ EVOLUTION AND MONOTONICITY FOR A CLASS OF QUANTITIES ALONG THE RICCI-BOURGUIGNON FLOW

Cites Work

• Unnamed Item
• Estimate and monotonicity of the first eigenvalue under the Ricci flow
• Harnack estimates for nonlinear backward heat equations in geometric flows
• Eigenvalues of \(\left(-\triangle + \frac{R}{2}\right)\) on manifolds with nonnegative curvature operator
• Harnack estimates for nonlinear heat equations with potentials in geometric flows
• Eigenvalues and energy functionals with monotonicity formulae under Ricci flow
• Differential Harnack estimates for parabolic equations
• First eigenvalues of geometric operators under the Ricci flow

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