Monotonicity formulas of eigenvalues and energy functionals along the rescaled List's extended Ricci flow

DOI10.1007/s00009-018-1105-0OpenAlexW2962755596WikidataQ130109136 ScholiaQ130109136MaRDI QIDQ1635762

Guangyue Huang, Zhi Li

Publication date: 1 June 2018

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

Full work available at URL: https://arxiv.org/abs/1511.08529

zbMATH Keywords

monotonicityeigenvaluesList's extended Ricci flow

Mathematics Subject Classification ID

Spectral theory; eigenvalue problems on manifolds (58C40) Ricci flows (53E20)

Related Items (5)

Evolution and monotonicity of geometric constants along the extended Ricci flow ⋮ Evolution of eigenvalues of geometric operator under the rescaled List's extended Ricci flow ⋮ Variation of the first eigenvalue of Witten Laplacian and consequences under super Perelman-Ricci flow ⋮ Eigenvalues of the weighted Laplacian under the extended Ricci flow ⋮ Eigenvalues of the Laplace operator with potential under the backward Ricci flow on locally homogeneous \(3\)-manifolds

Cites Work

• Unnamed Item
• Estimate and monotonicity of the first eigenvalue under the Ricci flow
• First eigenvalue monotonicity for the \(p\)-Laplace operator under the Ricci flow
• Evolution and monotonicity of eigenvalues under the Ricci flow
• Eigenvalues of \(\left(-\triangle + \frac{R}{2}\right)\) on manifolds with nonnegative curvature operator
• Evolution of an extended Ricci flow system
• Eigenvalues and entropies under the harmonic-Ricci flow
• Eigenvalue monotonicity for the Ricci-Hamilton flow
• Ricci flow coupled with harmonic map flow
• First eigenvalues of geometric operators under the Ricci flow
• Evolution of Eigenvalues along Rescaled Ricci Flow

This page was built for publication: Monotonicity formulas of eigenvalues and energy functionals along the rescaled List's extended Ricci flow