A class of monotonic quantities along the Yamabe flow

DOI10.36045/BBMS/1590199300zbMath1442.53027OpenAlexW3027604300MaRDI QIDQ2190710

Farzad Daneshvar, Asadollah Razavi

Publication date: 22 June 2020

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1590199300

zbMATH Keywords

eigenvalueYamabe flowhomogeneous manifoldYamabe breather

Mathematics Subject Classification ID

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

Related Items (3)

Evolution and monotonicity of geometric constants along the extended Ricci flow ⋮ On the problem of prescribing weighted scalar curvature and the weighted Yamabe flow ⋮ Convergence rate of the weighted Yamabe flow

Cites Work

• Eigenvalues of \(\left(-\triangle + \frac{R}{2}\right)\) on manifolds with nonnegative curvature operator
• Eigenvalues and energy functionals with monotonicity formulae under Ricci flow
• Yamabe solitons, determinant of the Laplacian and the uniformization theorem for Riemann surfaces
• FIRST EIGENVALUES OF GEOMETRIC OPERATORS UNDER THE YAMABE FLOW
• First eigenvalues of geometric operators under the Ricci flow
• The first eigenvalue of the p -Laplace operator under powers of mean curvature flow
• Evolution of a geometric constant along the Ricci flow
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