Three circle theorems for eigenfunctions on complete shrinking gradient Ricci solitons with constant scalar curvature

DOI10.1016/J.JMAA.2018.04.055zbMath1391.53057OpenAlexW2802964887WikidataQ129913103 ScholiaQ129913103MaRDI QIDQ1754684

Jian-Yu Ou

Publication date: 31 May 2018

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.04.055

zbMATH Keywords

eigenfunctionRicci solitonthree-circle theoremfrequency function

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (1)

Three balls theorem for eigenfunctions of Dirac operator in Clifford analysis

Cites Work

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• Three-circle theorem and dimension estimate for holomorphic functions on Kähler manifolds
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• Strong uniqueness of the Ricci flow
• Harmonic functions with polynomial growth
• Rigidity of gradient Ricci solitons
• On the three-circle theorem and its applications in Sasakian manifolds
• Quantitative uniqueness of elliptic equations
• Nodal sets of solutions of elliptic and parabolic equations
• On gradient Ricci solitons with constant scalar curvature
• Recent Progress on Ricci Solitons
• Unique continuation for elliptic operators: A geometric-variational approach

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