EVOLUTION AND MONOTONICITY FOR A CLASS OF QUANTITIES ALONG THE RICCI-BOURGUIGNON FLOW

DOI10.4134/JKMS.j180525zbMath1429.53104OpenAlexW3014283304MaRDI QIDQ4973820

Farzad Daneshvar, Asadollah Razavi

Publication date: 5 December 2019

Full work available at URL: http://koreascience.or.kr:80/article/JAKO201931765048710.pdf

zbMATH Keywords

eigenvaluebreatherhomogeneous manifoldlocally symmetric manifoldRicci-Bourguignon flow

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Ricci flows (53E20)

Related Items (2)

Evolution and monotonicity of geometric constants along the extended Ricci flow ⋮ Eigenvalues of the Laplace operator with potential under the backward Ricci flow on locally homogeneous \(3\)-manifolds

Cites Work

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• Short-time existence of the second order renormalization group flow in dimension three
• Entropy and lowest eigenvalue on evolving manifolds
• Eigenvalues of \(\left(-\triangle + \frac{R}{2}\right)\) on manifolds with nonnegative curvature operator
• Monotonicity of eigenvalues of geometric operators along the Ricci-Bourguignon flow
• Eigenvalues and energy functionals with monotonicity formulae under Ricci flow
• Monotonicity of eigenvalues and functionals along the Ricci-Bourguignon flow
• First eigenvalues of geometric operators under the Ricci flow
• Evolution of a geometric constant along the Ricci flow

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