Monotonicity formulas for the first eigenvalue of the weighted \(p\)-Laplacian under the Ricci-harmonic flow

DOI10.1186/S13660-019-1961-6zbMath1499.53342OpenAlexW2947165408WikidataQ128578926 ScholiaQ128578926MaRDI QIDQ2067710

Abimbola Abolarinwa, E. A. Bakare, O. Adebimpe

Publication date: 19 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-019-1961-6

zbMATH Keywords

monotonicityeigenvalueLaplace-Beltrami operatorRicci solitonsRicci harmonic flow

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Ricci flows (53E20) Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) (53E30)

Related Items (6)

Evolution and monotonicity of geometric constants along the extended Ricci flow ⋮ Differential Harnack estimates for a nonlinear evolution equation of Allen-Cahn type ⋮ Comparison estimates on the first eigenvalue of a quasilinear elliptic system ⋮ Weighted Cheeger constant and first eigenvalue lower bound estimates on smooth metric measure spaces ⋮ On the spectrum of the \(p\)-biharmonic operator under the Ricci flow ⋮ On the spectrum of the weighted \(p\)-Laplacian under the Ricci-harmonic flow

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