Eigenvalues of the drifted Laplacian on complete metric measure spaces
From MaRDI portal
Publication:3179538
DOI10.1142/S0219199716500012zbMath1360.58022arXiv1305.4116OpenAlexW2963019999WikidataQ125352007 ScholiaQ125352007MaRDI QIDQ3179538
Publication date: 21 December 2016
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.4116
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Variational principles in infinite-dimensional spaces (58E30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
Related Items (30)
A notion of the weighted \(\sigma_{k}\)-curvature for manifolds with density ⋮ Stability properties and gap theorem for complete \(f\)-minimal hypersurfaces ⋮ A note on the almost-Schur lemma on smooth metric measure spaces ⋮ Complexity of parabolic systems ⋮ Heat kernel on smooth metric measure spaces and applications ⋮ Hamiltonian F-stability of complete Lagrangian self-shrinkers ⋮ Stability of eigenvalues and observable diameter in RCD\((1, \infty)\) spaces ⋮ Stability of the Bakry-Émery theorem on \(\mathbb{R}^n\) ⋮ Self-improvement of the Bakry-Emery criterion for Poincaré inequalities and Wasserstein contraction using variable curvature bounds ⋮ Isoperimetric rigidity and distributions of 1-Lipschitz functions ⋮ A class of Finsler measure spaces of constant weighted Ricci curvature ⋮ Rigidity for the logarithmic Sobolev inequality on complete metric measure spaces ⋮ Spectral convergence of high-dimensional spheres to Gaussian spaces ⋮ Evolution of form and shape ⋮ Propagation of symmetries for Ricci shrinkers ⋮ On Poincaré and Logarithmic Sobolev Inequalities for a Class of Singular Gibbs Measures ⋮ Unnamed Item ⋮ Rigidity of some functional inequalities on RCD spaces ⋮ Eigenvalues of the weighted Laplacian under the extended Ricci flow ⋮ Universal inequalities of the poly-drifting Laplacian on the Gaussian and cylinder shrinking solitons ⋮ Geometric properties of self-shrinkers in cylinder shrinking Ricci solitons ⋮ Spectral properties and rigidity for self-expanding solutions of the mean curvature flows ⋮ The Friedland–Hayman inequality and Caffarelli’s contraction theorem ⋮ Some results on complete Finsler measure spaces ⋮ Rigidity for the isoperimetric inequality of negative effective dimension on weighted Riemannian manifolds ⋮ Eigenfunctions for quasi-Laplacian ⋮ Equality in the logarithmic Sobolev inequality ⋮ Quantitative estimates for the Bakry-Ledoux isoperimetric inequality ⋮ ON RIEMANNIAN MANIFOLDS WITH POSITIVE WEIGHTED RICCI CURVATURE OF NEGATIVE EFFECTIVE DIMENSION ⋮ A weighted renormalized curvature for manifolds with density
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Self-shrinkers for the mean curvature flow in arbitrary codimension
- Volume growth eigenvalue and compactness for self-shrinkers
- Lower diameter bounds for compact shrinking Ricci solitons
- Generic mean curvature flow. I: Generic singularities
- Smooth metric measure spaces with non-negative curvature
- Analysis of weighted Laplacian and applications to Ricci solitons
- Eigenvalue estimate and compactness for closed \(f\)-minimal surfaces
- \(\mathcal{F}\)-stability for self-shrinking solutions to mean curvature flow
- On the essential spectrum of complete non-compact manifolds
- On complete gradient shrinking Ricci solitons
- Comparison geometry for the Bakry-Emery Ricci tensor
- Asymptotic behavior for singularities of the mean curvature flow
- On the spectrum of the Laplacian
- On the first eigenvalue of the Witten-Laplacian and the diameter of compact shrinking solitons
- On the essential spectrum of the Laplacian and the drifted Laplacian
- Geometry of manifolds with densities
- Certain conditions for a Riemannian manifold to be isometric with a sphere
- New Logarithmic Sobolev Inequalities and an ɛ-Regularity Theorem for the Ricci Flow
- Séminaire de Probabilités XXXVI
- Logarithmic Sobolev inequalities on submanifolds of Euclidean space
- Eigenvalue Comparison on Bakry-Emery Manifolds
- Volume estimate about shrinkers
This page was built for publication: Eigenvalues of the drifted Laplacian on complete metric measure spaces