On evolution equations under the Hamilton's Ricci flow

DOI10.1007/s00025-020-01298-xzbMath1467.53105OpenAlexW3092690673MaRDI QIDQ2210824

I. I. Tsyganok, Vladimir Yu. Rovenskij, Sergey E. Stepanov

Publication date: 8 November 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-020-01298-x

zbMATH Keywords

Riemannian manifoldkinetic energyevolution equationsRicci solitonHamilton's Ricci flowSampson Laplaciansubharmonic and superharmonic functionsRicci and scalar curvaturesstochastic complete metric

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20) Ricci flows (53E20)

Cites Work

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• Maximum principles and gradient Ricci solitons
• On complete gradient shrinking Ricci solitons
• Remarks on non-compact gradient Ricci solitons
• Strong uniqueness of the Ricci flow
• Ricci solitons: The equation point of view
• A note on Ricci solitons
• Topological methods in hydrodynamics
• Geometry of infinitesimal harmonic transformations
• Three-manifolds with positive Ricci curvature
• Infinitesimal harmonic transformations and Ricci solitons on complete Riemannian manifolds
• The spectral theory of the Yano rough Laplacian with some of its applications
• Recent Progress on Ricci Solitons
• From vanishing theorems to estimating theorems: the Bochner technique revisited
• STOCHASTICALLY COMPLETE MANIFOLDS AND SUMMABLE HARMONIC FUNCTIONS
• Harmonic functions on complete riemannian manifolds
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
• Harmonic diffeomorphisms of manifolds
• A remark on the maximum principle and stochastic completeness
• On a Theorem of Chern
• Harmonic Mappings of Riemannian Manifolds
• Curvature and Betti Numbers. (AM-32)

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