Eigenvalues under the backward Ricci flow on locally homogeneous closed 3-manifolds

DOI10.1007/s10114-018-6448-8zbMath1393.53061arXiv1602.07824OpenAlexW2963234283MaRDI QIDQ1650618

Song Bo Hou

Publication date: 4 July 2018

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.07824

zbMATH Keywords

eigenvalueestimatehomogeneous 3-manifoldbackward Ricci flow

Mathematics Subject Classification ID

Related Items (6)

Eigenvalues of the Dirac operator on compact spin manifolds under Ricci flow ⋮ Bounds for the first eigenvalue of \((-\varDelta -R)\) under the Ricci flow on Bianchi classes ⋮ Unnamed Item ⋮ Unnamed Item ⋮ First Eigenvalue of p-Laplacian Along The Normalized Ricci Flow on Bianchi Classes ⋮ Eigenvalues of the Laplace operator with potential under the backward Ricci flow on locally homogeneous \(3\)-manifolds

Cites Work

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• First eigenvalue monotonicity for the \(p\)-Laplace operator under the Ricci flow
• Backward Ricci flow on locally homogeneous 3-manifolds
• Eigenvalues of \(\left(-\triangle + \frac{R}{2}\right)\) on manifolds with nonnegative curvature operator
• The backward behavior of the Ricci and cross-curvature flows on SL\((2,\mathbb{R})\)
• Notes on Perelman's papers
• Ricci flow of locally homogeneous geometries on closed manifolds
• Three-manifolds with positive Ricci curvature
• Quasi-convergence of model geometries under the Ricci flow
• Eigenvalues and energy functionals with monotonicity formulae under Ricci flow
• Eigenvalue monotonicity for the Ricci-Hamilton flow
• First eigenvalue of the \(p\)-Laplace operator along the Ricci flow
• Eigenvalues under the Ricci flow of model geometries
• First eigenvalues of geometric operators under the Ricci flow
• Infinitesimally homogeneous spaces

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