First Eigenvalues of Geometric Operator under The Ricci-Bourguignon Flow

DOI10.22342/jims.24.1.434.51-60zbMath1454.58009OpenAlexW2738789769MaRDI QIDQ5141924

Shahroud Azami

Publication date: 29 December 2020

Published in: Journal of the Indonesian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22342/jims.24.1.434.51-60

zbMATH Keywords

LaplaceRicci-Bourguignon flow

Mathematics Subject Classification ID

Spectral theory; eigenvalue problems on manifolds (58C40) Higher-order geometric flows (53E40)

Related Items (7)

Evolution of eigenvalues of geometric operator under the rescaled List's extended Ricci flow ⋮ First eigenvalues evolution for some geometric operators along the Yamabe flow ⋮ Variation of the first eigenvalue of Witten Laplacian and consequences under super Perelman-Ricci flow ⋮ Unnamed Item ⋮ Monotonicity formulas for the first eigenvalue of the weighted \(p\)-Laplacian under the Ricci-harmonic flow ⋮ On the Ricci–Bourguignon flow ⋮ Evolution of Yamabe constant along the Ricci-Bourguignon flow

Cites Work

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• First eigenvalue monotonicity for the \(p\)-Laplace operator under the Ricci flow
• Evolution and monotonicity of eigenvalues under the Ricci flow
• The Ricci-Bourguignon flow
• Eigenvalues of \(\left(-\triangle + \frac{R}{2}\right)\) on manifolds with nonnegative curvature operator
• Estimates on eigenvalues of Laplacian
• Eigenvalues and energy functionals with monotonicity formulae under Ricci flow
• FIRST EIGENVALUES OF GEOMETRIC OPERATORS UNDER THE YAMABE FLOW
• First eigenvalues of geometric operators under the Ricci flow

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